488025494400 has 192 divisors, whose sum is σ = 1608506870400. Its totient is φ = 130053273600.

The previous prime is 488025494393. The next prime is 488025494413. The reversal of 488025494400 is 4494520884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 488025494400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15065421 + ... + 15097779.

It is an arithmetic number, because the mean of its divisors is an integer number (8377639950).

Almost surely, 2^488025494400 is an apocalyptic number.

488025494400 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 488025494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804253435200).

488025494400 is an abundant number, since it is smaller than the sum of its proper divisors (1120481376000).

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

488025494400 is a wasteful number, since it uses less digits than its factorization.

488025494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33957 (or 33940 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 488025494400 in words is "four hundred eighty-eight billion, twenty-five million, four hundred ninety-four thousand, four hundred".