480046560 has 96 divisors (see below), whose sum is σ = 1728179712. Its totient is φ = 109724160.

The previous prime is 480046559. The next prime is 480046577. The reversal of 480046560 is 65640084.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68076 + ... + 74795.

It is an arithmetic number, because the mean of its divisors is an integer number (18001872).

Almost surely, 2^480046560 is an apocalyptic number.

480046560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480046560 is an abundant number, since it is smaller than the sum of its proper divisors (1248133152).

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

480046560 is a wasteful number, since it uses less digits than its factorization.

480046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142896 (or 142888 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 480046560 is about 21909.9648562018. The cubic root of 480046560 is about 782.9988435593.

It can be divided in two parts, 4800 and 46560, that added together give a triangular number (51360 = T₃₂₀).

The spelling of 480046560 in words is "four hundred eighty million, forty-six thousand, five hundred sixty".