472945440 has 288 divisors, whose sum is σ = 1737469440. Its totient is φ = 107683840.

The previous prime is 472945381. The next prime is 472945477. The reversal of 472945440 is 44549274.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987121 + ... + 987599.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^472945440 is an apocalyptic number.

472945440 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 472945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868734720).

472945440 is an abundant number, since it is smaller than the sum of its proper divisors (1264524000).

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

472945440 is a wasteful number, since it uses less digits than its factorization.

472945440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 472945440 is about 21747.3087990215. The cubic root of 472945440 is about 779.1187944444.

The spelling of 472945440 in words is "four hundred seventy-two million, nine hundred forty-five thousand, four hundred forty".