472868928 has 280 divisors, whose sum is σ = 1631606592. Its totient is φ = 132627456.

The previous prime is 472868911. The next prime is 472868939. The reversal of 472868928 is 829868274.

472868928 is a `hidden beast` number, since 472 + 86 + 8 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3096576) is a multiple of the sum of its prime divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3011826 + ... + 3011982.

Almost surely, 2^472868928 is an apocalyptic number.

472868928 is a gapful number since it is divisible by the number (48) 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 472868928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815803296).

472868928 is an abundant number, since it is smaller than the sum of its proper divisors (1158737664).

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

472868928 is a wasteful number, since it uses less digits than its factorization.

472868928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 472868928 is about 21745.5496136566. The cubic root of 472868928 is about 779.0767775103.

The spelling of 472868928 in words is "four hundred seventy-two million, eight hundred sixty-eight thousand, nine hundred twenty-eight".