472480 has 24 divisors (see below), whose sum is σ = 1116612. Its totient is φ = 188928.

The previous prime is 472477. The next prime is 472523. The reversal of 472480 is 84274.

It can be written as a sum of positive squares in 2 ways, for example, as 467856 + 4624 = 684^2 + 68^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1317 + ... + 1636.

2⁴⁷²⁴⁸⁰ is an apocalyptic number.

472480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

472480 is an abundant number, since it is smaller than the sum of its proper divisors (644132).

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

472480 is a wasteful number, since it uses less digits than its factorization.

472480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 472480 is about 687.3718062301. The cubic root of 472480 is about 77.8863125717.

The spelling of 472480 in words is "four hundred seventy-two thousand, four hundred eighty".