484776960 has 176 divisors, whose sum is σ = 1594301856. Its totient is φ = 125632512.

The previous prime is 484776937. The next prime is 484776961. The reversal of 484776960 is 69677484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484776961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567894 + ... + 568746.

Almost surely, 2^484776960 is an apocalyptic number.

484776960 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 484776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797150928).

484776960 is an abundant number, since it is smaller than the sum of its proper divisors (1109524896).

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

484776960 is a wasteful number, since it uses less digits than its factorization.

484776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The square root of 484776960 is about 22017.6511008781. The cubic root of 484776960 is about 785.5623433542.

The spelling of 484776960 in words is "four hundred eighty-four million, seven hundred seventy-six thousand, nine hundred sixty".