472826160 has 200 divisors, whose sum is σ = 1657701936. Its totient is φ = 124899840.

The previous prime is 472826143. The next prime is 472826161. The reversal of 472826160 is 61628274.

472826160 is a `hidden beast` number, since 472 + 8 + 26 + 160 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (472826161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 848602 + ... + 849158.

Almost surely, 2^472826160 is an apocalyptic number.

472826160 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 472826160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828850968).

472826160 is an abundant number, since it is smaller than the sum of its proper divisors (1184875776).

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

472826160 is a wasteful number, since it uses less digits than its factorization.

472826160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 472826160 is about 21744.5662177934. The cubic root of 472826160 is about 779.0532892819.

The spelling of 472826160 in words is "four hundred seventy-two million, eight hundred twenty-six thousand, one hundred sixty".