472505328 has 120 divisors (see below), whose sum is σ = 1365434928. Its totient is φ = 152441856.

The previous prime is 472505321. The next prime is 472505347. The reversal of 472505328 is 823505274.

472505328 is a `hidden beast` number, since 4 + 72 + 50 + 532 + 8 = 666.

It is a super-2 number, since 2×472505328² = 446522569976775168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 472505292 and 472505301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472505321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848026 + ... + 848582.

Almost surely, 2^472505328 is an apocalyptic number.

472505328 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 472505328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682717464).

472505328 is an abundant number, since it is smaller than the sum of its proper divisors (892929600).

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

472505328 is a wasteful number, since it uses less digits than its factorization.

472505328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 472505328 is about 21737.1876745820. The cubic root of 472505328 is about 778.8770428443.

The spelling of 472505328 in words is "four hundred seventy-two million, five hundred five thousand, three hundred twenty-eight".