488250444902400 has 780 divisors, whose sum is σ = 1812729729223600. Its totient is φ = 129902566440960.

The previous prime is 488250444902303. The next prime is 488250444902417. The reversal of 488250444902400 is 4209444052884.

488250444902400 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 504 + 4 + 4 + 90 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3641174556 + ... + 3641308644.

Almost surely, 2^{488250444902400} is an apocalyptic number.

488250444902400 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 488250444902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906364864611800).

488250444902400 is an abundant number, since it is smaller than the sum of its proper divisors (1324479284321200).

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

488250444902400 is a wasteful number, since it uses less digits than its factorization.

488250444902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134574 (or 134538 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 488250444902400 in words is "four hundred eighty-eight trillion, two hundred fifty billion, four hundred forty-four million, nine hundred two thousand, four hundred".