488776320 has 96 divisors (see below), whose sum is σ = 1687825620. Its totient is φ = 130338816.

The previous prime is 488776319. The next prime is 488776331. The reversal of 488776320 is 23677884.

It is a happy number.

488776320 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 473845824 + 14930496 = 21768^2 + 3864^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36669 + ... + 48188.

Almost surely, 2^488776320 is an apocalyptic number.

488776320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488776320 is an abundant number, since it is smaller than the sum of its proper divisors (1199049300).

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

488776320 is a wasteful number, since it uses less digits than its factorization.

488776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84882 (or 84867 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 488776320 is about 22108.2862293756. The cubic root of 488776320 is about 787.7166992459.

The spelling of 488776320 in words is "four hundred eighty-eight million, seven hundred seventy-six thousand, three hundred twenty".