456872080 has 60 divisors (see below), whose sum is σ = 1235663100. Its totient is φ = 156640512.

The previous prime is 456872077. The next prime is 456872099. The reversal of 456872080 is 80278654.

It can be written as a sum of positive squares in 2 ways, for example, as 178382736 + 278489344 = 13356^2 + 16688^2 .

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 11 ways as a sum of consecutive naturals, for example, 54355 + ... + 62194.

It is an arithmetic number, because the mean of its divisors is an integer number (20594385).

Almost surely, 2^456872080 is an apocalyptic number.

456872080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456872080 is an abundant number, since it is smaller than the sum of its proper divisors (778791020).

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

456872080 is a wasteful number, since it uses less digits than its factorization.

456872080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116576 (or 116563 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 456872080 is about 21374.5661944284. The cubic root of 456872080 is about 770.1905864320.

The spelling of 456872080 in words is "four hundred fifty-six million, eight hundred seventy-two thousand, eighty".