476152560 has 320 divisors, whose sum is σ = 1826549760. Its totient is φ = 113218560.

The previous prime is 476152549. The next prime is 476152561. The reversal of 476152560 is 65251674.

It is a happy number.

476152560 is a `hidden beast` number, since 4 + 76 + 1 + 525 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476152561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870207 + ... + 870753.

It is an arithmetic number, because the mean of its divisors is an integer number (5707968).

Almost surely, 2^476152560 is an apocalyptic number.

476152560 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 476152560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913274880).

476152560 is an abundant number, since it is smaller than the sum of its proper divisors (1350397200).

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

476152560 is a wasteful number, since it uses less digits than its factorization.

476152560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 476152560 is about 21820.9202372402. The cubic root of 476152560 is about 780.8759390303.

The spelling of 476152560 in words is "four hundred seventy-six million, one hundred fifty-two thousand, five hundred sixty".