488084808400 has 120 divisors (see below), whose sum is σ = 1340366512640. Its totient is φ = 167315258880.

The previous prime is 488084808373. The next prime is 488084808469. The reversal of 488084808400 is 4808480884.

It is a happy number.

It is a super-4 number, since 4×488084808400⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23277121 + ... + 23298079.

Almost surely, 2^488084808400 is an apocalyptic number.

488084808400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488084808400 is an abundant number, since it is smaller than the sum of its proper divisors (852281704240).

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

488084808400 is a wasteful number, since it uses less digits than its factorization.

488084808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29301 (or 29290 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 52.

The spelling of 488084808400 in words is "four hundred eighty-eight billion, eighty-four million, eight hundred eight thousand, four hundred".