472118760 has 256 divisors, whose sum is σ = 1642291200. Its totient is φ = 120556800.

The previous prime is 472118749. The next prime is 472118819. The reversal of 472118760 is 67811274.

472118760 is a `hidden beast` number, since 472 + 1 + 187 + 6 + 0 = 666.

It is a super-2 number, since 2×472118760² = 445792247087875200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3603895 + ... + 3604025.

It is an arithmetic number, because the mean of its divisors is an integer number (6415200).

Almost surely, 2^472118760 is an apocalyptic number.

472118760 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 472118760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821145600).

472118760 is an abundant number, since it is smaller than the sum of its proper divisors (1170172440).

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

472118760 is a wasteful number, since it uses less digits than its factorization.

472118760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 472118760 is about 21728.2939965382. The cubic root of 472118760 is about 778.6645788645.

It can be divided in two parts, 472118 and 760, that added together give a triangular number (472878 = T₉₇₂).

The spelling of 472118760 in words is "four hundred seventy-two million, one hundred eighteen thousand, seven hundred sixty".