488033925120 has 768 divisors, whose sum is σ = 1990570982400. Its totient is φ = 111105146880.

The previous prime is 488033925103. The next prime is 488033925139. The reversal of 488033925120 is 21529330884.

488033925120 is a `hidden beast` number, since 48 + 8 + 0 + 3 + 3 + 92 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×488033925120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 892200687 + ... + 892201233.

It is an arithmetic number, because the mean of its divisors is an integer number (2591889300).

Almost surely, 2^488033925120 is an apocalyptic number.

488033925120 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 488033925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995285491200).

488033925120 is an abundant number, since it is smaller than the sum of its proper divisors (1502537057280).

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

488033925120 is a wasteful number, since it uses less digits than its factorization.

488033925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 488033925120 in words is "four hundred eighty-eight billion, thirty-three million, nine hundred twenty-five thousand, one hundred twenty".