488296160 has 96 divisors (see below), whose sum is σ = 1285466112. Its totient is φ = 173754880.

The previous prime is 488296147. The next prime is 488296169. The reversal of 488296160 is 61692884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488296169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79769 + ... + 85671.

It is an arithmetic number, because the mean of its divisors is an integer number (13390272).

Almost surely, 2^488296160 is an apocalyptic number.

488296160 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 488296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642733056).

488296160 is an abundant number, since it is smaller than the sum of its proper divisors (797169952).

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

488296160 is a wasteful number, since it uses less digits than its factorization.

488296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 488296160 is about 22097.4242842916. The cubic root of 488296160 is about 787.4586712165.

The spelling of 488296160 in words is "four hundred eighty-eight million, two hundred ninety-six thousand, one hundred sixty".