480487296 has 64 divisors (see below), whose sum is σ = 1331809920. Its totient is φ = 153196032.

The previous prime is 480487279. The next prime is 480487307. The reversal of 480487296 is 692784084.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18370 + ... + 36033.

It is an arithmetic number, because the mean of its divisors is an integer number (20809530).

Almost surely, 2^480487296 is an apocalyptic number.

480487296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

480487296 is an abundant number, since it is smaller than the sum of its proper divisors (851322624).

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

480487296 is a wasteful number, since it uses less digits than its factorization.

480487296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54443 (or 54431 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 480487296 is about 21920.0204379467. The cubic root of 480487296 is about 783.2383968644.

The spelling of 480487296 in words is "four hundred eighty million, four hundred eighty-seven thousand, two hundred ninety-six".