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469974960 = 24345713797
BaseRepresentation
bin11100000000110…
…011111110110000
31012202100012110000
4130000303332300
51430303144320
6114345110000
714434502250
oct3400637660
91182305400
10469974960
1122131a164
12111488300
13764a18c0
14465bb960
152b3d6c90
hex1c033fb0

469974960 has 400 divisors, whose sum is σ = 2011496256. Its totient is φ = 99035136.

The previous prime is 469974931. The next prime is 469974961. The reversal of 469974960 is 69479964.

469974960 is a `hidden beast` number, since 4 + 69 + 97 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 469974897 and 469974906.

It is not an unprimeable number, because it can be changed into a prime (469974961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589282 + ... + 590078.

Almost surely, 2469974960 is an apocalyptic number.

469974960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 469974960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005748128).

469974960 is an abundant number, since it is smaller than the sum of its proper divisors (1541521296).

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

469974960 is a wasteful number, since it uses less digits than its factorization.

469974960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 469974960 is about 21678.9058764505. The cubic root of 469974960 is about 777.4842020067.

The spelling of 469974960 in words is "four hundred sixty-nine million, nine hundred seventy-four thousand, nine hundred sixty".