488360758400 has 96 divisors (see below), whose sum is σ = 1207023588180. Its totient is φ = 195243929600.

The previous prime is 488360758357. The next prime is 488360758421. The reversal of 488360758400 is 4857063884.

It can be written as a sum of positive squares in 6 ways, for example, as 676416064 + 487684342336 = 26008^2 + 698344^2 .

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6352190 + ... + 6428610.

Almost surely, 2^488360758400 is an apocalyptic number.

488360758400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488360758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603511794090).

488360758400 is an abundant number, since it is smaller than the sum of its proper divisors (718662829780).

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

488360758400 is a wasteful number, since it uses less digits than its factorization.

488360758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78442 (or 78425 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 488360758400 in words is "four hundred eighty-eight billion, three hundred sixty million, seven hundred fifty-eight thousand, four hundred".