488852582400 has 2496 divisors, whose sum is σ = 2320634803200. Its totient is φ = 98099527680.

The previous prime is 488852582399. The next prime is 488852582419. The reversal of 488852582400 is 4285258884.

488852582400 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 52 + 582 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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 191 ways as a sum of consecutive naturals, for example, 7296307167 + ... + 7296307233.

Almost surely, 2^488852582400 is an apocalyptic number.

488852582400 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 488852582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160317401600).

488852582400 is an abundant number, since it is smaller than the sum of its proper divisors (1831782220800).

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

488852582400 is a wasteful number, since it uses less digits than its factorization.

488852582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 54.

The spelling of 488852582400 in words is "four hundred eighty-eight billion, eight hundred fifty-two million, five hundred eighty-two thousand, four hundred".