472504560 has 160 divisors (see below), whose sum is σ = 1616682240. Its totient is φ = 113203200.

The previous prime is 472504553. The next prime is 472504601. The reversal of 472504560 is 65405274.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233955 + ... + 235965.

It is an arithmetic number, because the mean of its divisors is an integer number (10104264).

Almost surely, 2^472504560 is an apocalyptic number.

472504560 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 472504560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808341120).

472504560 is an abundant number, since it is smaller than the sum of its proper divisors (1144177680).

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

472504560 is a wasteful number, since it uses less digits than its factorization.

472504560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2127 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 472504560 is about 21737.1700089961. The cubic root of 472504560 is about 778.8766208541.

The spelling of 472504560 in words is "four hundred seventy-two million, five hundred four thousand, five hundred sixty".