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470463864 = 233131924177
BaseRepresentation
bin11100000010101…
…011010101111000
31012210021001002120
4130002223111320
51430414320424
6114403401240
714441606523
oct3402532570
91183231076
10470463864
11221623512
12111683220
13766132b0
14466a7bba
152b481a79
hex1c0ab578

470463864 has 96 divisors (see below), whose sum is σ = 1337127120. Its totient is φ = 137106432.

The previous prime is 470463863. The next prime is 470463893. The reversal of 470463864 is 468364074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470463863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110544 + ... + 114720.

Almost surely, 2470463864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470463864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668563560).

470463864 is an abundant number, since it is smaller than the sum of its proper divisors (866663256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

470463864 is a wasteful number, since it uses less digits than its factorization.

470463864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 470463864 is about 21690.1789757484. The cubic root of 470463864 is about 777.7537081410.

The spelling of 470463864 in words is "four hundred seventy million, four hundred sixty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 361 456 494 722 741 988 1083 1444 1482 1976 2166 2888 2964 4177 4332 4693 5928 8354 8664 9386 12531 14079 16708 18772 25062 28158 33416 37544 50124 54301 56316 79363 100248 108602 112632 158726 162903 217204 238089 317452 325806 434408 476178 634904 651612 952356 1031719 1303224 1507897 1904712 2063438 3015794 3095157 4126876 4523691 6031588 6190314 8253752 9047382 12063176 12380628 18094764 19602661 24761256 36189528 39205322 58807983 78410644 117615966 156821288 235231932 470463864