480057906 has 64 divisors (see below), whose sum is σ = 1017354240. Its totient is φ = 150828480.

The previous prime is 480057899. The next prime is 480057931. The reversal of 480057906 is 609750084.

It is a super-2 number, since 2×480057906² = 460911186226209672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450161 + ... + 1450491.

It is an arithmetic number, because the mean of its divisors is an integer number (15896160).

Almost surely, 2^480057906 is an apocalyptic number.

480057906 is an abundant number, since it is smaller than the sum of its proper divisors (537296334).

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

480057906 is a wasteful number, since it uses less digits than its factorization.

480057906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559.

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 480057906 is about 21910.2237779535. The cubic root of 480057906 is about 783.0050122908.

The spelling of 480057906 in words is "four hundred eighty million, fifty-seven thousand, nine hundred six".