484824960 has 128 divisors (see below), whose sum is σ = 1717149600. Its totient is φ = 129282048.

The previous prime is 484824943. The next prime is 484824961. The reversal of 484824960 is 69428484.

484824960 is a `hidden beast` number, since 4 + 84 + 82 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (484824961) 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, 3252 + ... + 31308.

Almost surely, 2^484824960 is an apocalyptic number.

484824960 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 484824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574800).

484824960 is an abundant number, since it is smaller than the sum of its proper divisors (1232324640).

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

484824960 is a wasteful number, since it uses less digits than its factorization.

484824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28085 (or 28067 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 484824960 is about 22018.7411084285. The cubic root of 484824960 is about 785.5882698807.

The spelling of 484824960 in words is "four hundred eighty-four million, eight hundred twenty-four thousand, nine hundred sixty".