480942720 has 96 divisors (see below), whose sum is σ = 1660775220. Its totient is φ = 128249856.

The previous prime is 480942703. The next prime is 480942731. The reversal of 480942720 is 27249084.

It can be written as a sum of positive squares in 2 ways, for example, as 473845824 + 7096896 = 21768^2 + 2664^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×480942720³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35989 + ... + 47508.

Almost surely, 2^480942720 is an apocalyptic number.

480942720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480942720 is an abundant number, since it is smaller than the sum of its proper divisors (1179832500).

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

480942720 is a wasteful number, since it uses less digits than its factorization.

480942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83522 (or 83507 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 480942720 is about 21930.4062889861. The cubic root of 480942720 is about 783.4857796959.

The spelling of 480942720 in words is "four hundred eighty million, nine hundred forty-two thousand, seven hundred twenty".