480635904 has 264 divisors, whose sum is σ = 1553230848. Its totient is φ = 131604480.

The previous prime is 480635893. The next prime is 480635923. The reversal of 480635904 is 409536084.

It is a super-3 number, since 3×480635904³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4666317 + ... + 4666419.

Almost surely, 2^480635904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480635904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776615424).

480635904 is an abundant number, since it is smaller than the sum of its proper divisors (1072594944).

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

480635904 is a wasteful number, since it uses less digits than its factorization.

480635904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 480635904 is about 21923.4099537458. The cubic root of 480635904 is about 783.3191367680.

The spelling of 480635904 in words is "four hundred eighty million, six hundred thirty-five thousand, nine hundred four".