472008 has 32 divisors (see below), whose sum is σ = 1200960. Its totient is φ = 154560.

The previous prime is 471997. The next prime is 472019. The reversal of 472008 is 800274.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (471997) and next prime (472019).

It is an unprimeable number.

472008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1566 + ... + 1842.

It is an arithmetic number, because the mean of its divisors is an integer number (37530).

2⁴⁷²⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

472008 is an abundant number, since it is smaller than the sum of its proper divisors (728952).

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

472008 is a wasteful number, since it uses less digits than its factorization.

472008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 472008 is about 687.0283836931. The cubic root of 472008 is about 77.8603682016.

The spelling of 472008 in words is "four hundred seventy-two thousand, eight".