472523328 has 112 divisors (see below), whose sum is σ = 1434104320. Its totient is φ = 152409600.

The previous prime is 472523323. The next prime is 472523333. The reversal of 472523328 is 823325274.

It is an interprime number because it is at equal distance from previous prime (472523323) and next prime (472523333).

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 = 472523292 and 472523301.

It is not an unprimeable number, because it can be changed into a prime (472523321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49158 + ... + 57978.

Almost surely, 2^472523328 is an apocalyptic number.

472523328 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 472523328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717052160).

472523328 is an abundant number, since it is smaller than the sum of its proper divisors (961580992).

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

472523328 is a wasteful number, since it uses less digits than its factorization.

472523328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873 (or 8857 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 472523328 is about 21737.6017076402. The cubic root of 472523328 is about 778.8869331093.

The spelling of 472523328 in words is "four hundred seventy-two million, five hundred twenty-three thousand, three hundred twenty-eight".