472125360 has 320 divisors, whose sum is σ = 1806741504. Its totient is φ = 99532800.

The previous prime is 472125359. The next prime is 472125361. The reversal of 472125360 is 63521274.

It is an interprime number because it is at equal distance from previous prime (472125359) and next prime (472125361).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (472125361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1742025 + ... + 1742295.

Almost surely, 2^472125360 is an apocalyptic number.

472125360 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 472125360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903370752).

472125360 is an abundant number, since it is smaller than the sum of its proper divisors (1334616144).

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

472125360 is a wasteful number, since it uses less digits than its factorization.

472125360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 472125360 is about 21728.4458717139. The cubic root of 472125360 is about 778.6682073034.

The spelling of 472125360 in words is "four hundred seventy-two million, one hundred twenty-five thousand, three hundred sixty".