480800400888 has 32 divisors (see below), whose sum is σ = 1254261916800. Its totient is φ = 153298678368.

The previous prime is 480800400869. The next prime is 480800400907. The reversal of 480800400888 is 888004008084.

It is an interprime number because it is at equal distance from previous prime (480800400869) and next prime (480800400907).

It is a super-3 number, since 3×480800400888³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 435507058 + ... + 435508161.

It is an arithmetic number, because the mean of its divisors is an integer number (39195684900).

Almost surely, 2^480800400888 is an apocalyptic number.

It is an amenable number.

480800400888 is an abundant number, since it is smaller than the sum of its proper divisors (773461515912).

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

480800400888 is a wasteful number, since it uses less digits than its factorization.

480800400888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871015251 (or 871015247 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 480800400888 in words is "four hundred eighty billion, eight hundred million, four hundred thousand, eight hundred eighty-eight".