456581480 has 32 divisors (see below), whose sum is σ = 1055076840. Its totient is φ = 177696000.

The previous prime is 456581473. The next prime is 456581497. The reversal of 456581480 is 84185654.

It can be written as a sum of positive squares in 4 ways, for example, as 456164164 + 417316 = 21358^2 + 646^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152771 + ... + 155730.

Almost surely, 2^456581480 is an apocalyptic number.

456581480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456581480 is an abundant number, since it is smaller than the sum of its proper divisors (598495360).

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

456581480 is a wasteful number, since it uses less digits than its factorization.

456581480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308549 (or 308545 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 456581480 is about 21367.7673143452. The cubic root of 456581480 is about 770.0272548963.

The spelling of 456581480 in words is "four hundred fifty-six million, five hundred eighty-one thousand, four hundred eighty".