480697904 has 40 divisors (see below), whose sum is σ = 963366912. Its totient is φ = 232119360.

The previous prime is 480697901. The next prime is 480697909. The reversal of 480697904 is 409796084.

It is a super-3 number, since 3×480697904³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480697901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427487 + ... + 428609.

Almost surely, 2^480697904 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 480697904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481683456).

480697904 is an abundant number, since it is smaller than the sum of its proper divisors (482669008).

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

480697904 is a wasteful number, since it uses less digits than its factorization.

480697904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 480697904 is about 21924.8239217559. The cubic root of 480697904 is about 783.3528169391.

The spelling of 480697904 in words is "four hundred eighty million, six hundred ninety-seven thousand, nine hundred four".