488761257600 has 1536 divisors, whose sum is σ = 2260126771200. Its totient is φ = 101448806400.

The previous prime is 488761257577. The next prime is 488761257631. The reversal of 488761257600 is 6752167884.

488761257600 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 6 + 1 + 25 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 538876347 + ... + 538877253.

It is an arithmetic number, because the mean of its divisors is an integer number (1471436700).

Almost surely, 2^488761257600 is an apocalyptic number.

488761257600 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 488761257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130063385600).

488761257600 is an abundant number, since it is smaller than the sum of its proper divisors (1771365513600).

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

488761257600 is an equidigital number, since it uses as much as digits as its factorization.

488761257600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 488761257600 in words is "four hundred eighty-eight billion, seven hundred sixty-one million, two hundred fifty-seven thousand, six hundred".