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473256960 = 21035112801
BaseRepresentation
bin11100001101010…
…101010000000000
31012222111221111120
4130031111100000
51432123210320
6114543312240
714504421621
oct3415252000
91188457446
10473256960
11223160a60
121125ab680
1377080707
1446bd3a48
152b834440
hex1c355400

473256960 has 176 divisors, whose sum is σ = 1651879872. Its totient is φ = 114688000.

The previous prime is 473256937. The next prime is 473256967. The reversal of 473256960 is 69652374.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473256967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167560 + ... + 170360.

Almost surely, 2473256960 is an apocalyptic number.

473256960 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 473256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825939936).

473256960 is an abundant number, since it is smaller than the sum of its proper divisors (1178622912).

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

473256960 is a wasteful number, since it uses less digits than its factorization.

473256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 473256960 is about 21754.4698855201. The cubic root of 473256960 is about 779.2898203853.

It can be divided in two parts, 47325 and 6960, that added together give a triangular number (54285 = T329).

The spelling of 473256960 in words is "four hundred seventy-three million, two hundred fifty-six thousand, nine hundred sixty".