480936960 has 528 divisors, whose sum is σ = 2016213120. Its totient is φ = 108380160.

The previous prime is 480936959. The next prime is 480936971. The reversal of 480936960 is 69639084.

It is a super-3 number, since 3×480936960³ (a number of 27 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 6773725 + ... + 6773795.

Almost surely, 2^480936960 is an apocalyptic number.

480936960 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 480936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008106560).

480936960 is an abundant number, since it is smaller than the sum of its proper divisors (1535276160).

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

480936960 is a wasteful number, since it uses less digits than its factorization.

480936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 480936960 is about 21930.2749640765. The cubic root of 480936960 is about 783.4826518832.

The spelling of 480936960 in words is "four hundred eighty million, nine hundred thirty-six thousand, nine hundred sixty".