488032281600 has 264 divisors, whose sum is σ = 1619036821440. Its totient is φ = 129652654080.

The previous prime is 488032281587. The next prime is 488032281613. The reversal of 488032281600 is 6182230884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (488032281587) and next prime (488032281613).

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, 20647389 + ... + 20671011.

Almost surely, 2^488032281600 is an apocalyptic number.

488032281600 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 488032281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809518410720).

488032281600 is an abundant number, since it is smaller than the sum of its proper divisors (1131004539840).

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

488032281600 is a wasteful number, since it uses less digits than its factorization.

488032281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23925 (or 23902 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 488032281600 in words is "four hundred eighty-eight billion, thirty-two million, two hundred eighty-one thousand, six hundred".