472509648 has 60 divisors (see below), whose sum is σ = 1424097220. Its totient is φ = 145387008.

The previous prime is 472509643. The next prime is 472509683. The reversal of 472509648 is 846905274.

It is a happy number.

472509648 is a `hidden beast` number, since 472 + 50 + 96 + 48 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53406864 + 419102784 = 7308^2 + 20472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472509641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124333 + ... + 128076.

Almost surely, 2^472509648 is an apocalyptic number.

472509648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

472509648 is an abundant number, since it is smaller than the sum of its proper divisors (951587572).

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

472509648 is a wasteful number, since it uses less digits than its factorization.

472509648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252436 (or 252427 counting only the distinct ones).

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

The square root of 472509648 is about 21737.2870432352. The cubic root of 472509648 is about 778.8794165308.

The spelling of 472509648 in words is "four hundred seventy-two million, five hundred nine thousand, six hundred forty-eight".