472958640 has 480 divisors, whose sum is σ = 2089152000. Its totient is φ = 92897280.

The previous prime is 472958617. The next prime is 472958653. The reversal of 472958640 is 46859274.

It is a happy number.

472958640 is a `hidden beast` number, since 4 + 7 + 29 + 586 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1053136 + ... + 1053584.

It is an arithmetic number, because the mean of its divisors is an integer number (4352400).

Almost surely, 2^472958640 is an apocalyptic number.

472958640 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 472958640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044576000).

472958640 is an abundant number, since it is smaller than the sum of its proper divisors (1616193360).

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

472958640 is a wasteful number, since it uses less digits than its factorization.

472958640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 472958640 is about 21747.6122827312. The cubic root of 472958640 is about 779.1260428298.

The spelling of 472958640 in words is "four hundred seventy-two million, nine hundred fifty-eight thousand, six hundred forty".