488310624 has 72 divisors (see below), whose sum is σ = 1414878192. Its totient is φ = 159694080.

The previous prime is 488310617. The next prime is 488310637. The reversal of 488310624 is 426013884.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×488310624² = 476894531022538752, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 732 + ... + 31259.

It is an arithmetic number, because the mean of its divisors is an integer number (19651086).

Almost surely, 2^488310624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488310624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707439096).

488310624 is an abundant number, since it is smaller than the sum of its proper divisors (926567568).

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

488310624 is a wasteful number, since it uses less digits than its factorization.

488310624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32060 (or 32049 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 488310624 is about 22097.7515598307. The cubic root of 488310624 is about 787.4664463406.

The spelling of 488310624 in words is "four hundred eighty-eight million, three hundred ten thousand, six hundred twenty-four".