488400076800 has 810 divisors, whose sum is σ = 1851460801008. Its totient is φ = 123049082880.

The previous prime is 488400076693. The next prime is 488400076807. The reversal of 488400076800 is 8670004884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488400076807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1330790217 + ... + 1330790583.

Almost surely, 2^488400076800 is an apocalyptic number.

488400076800 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 488400076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925730400504).

488400076800 is an abundant number, since it is smaller than the sum of its proper divisors (1363060724208).

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

488400076800 is a wasteful number, since it uses less digits than its factorization.

488400076800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 488400076800 in words is "four hundred eighty-eight billion, four hundred million, seventy-six thousand, eight hundred".