484920960 has 256 divisors, whose sum is σ = 1645056000. Its totient is φ = 121245696.

The previous prime is 484920913. The next prime is 484921037. The reversal of 484920960 is 69029484.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3488571 + ... + 3488709.

It is an arithmetic number, because the mean of its divisors is an integer number (6426000).

Almost surely, 2^484920960 is an apocalyptic number.

484920960 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 484920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822528000).

484920960 is an abundant number, since it is smaller than the sum of its proper divisors (1160135040).

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

484920960 is a wasteful number, since it uses less digits than its factorization.

484920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 484920960 is about 22020.9209616673. The cubic root of 484920960 is about 785.6401178004.

The spelling of 484920960 in words is "four hundred eighty-four million, nine hundred twenty thousand, nine hundred sixty".