456886272 has 48 divisors (see below), whose sum is σ = 1218082320. Its totient is φ = 152293376.

The previous prime is 456886231. The next prime is 456886273. The reversal of 456886272 is 272688654.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (456886273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31038 + ... + 43325.

It is an arithmetic number, because the mean of its divisors is an integer number (25376715).

Almost surely, 2^456886272 is an apocalyptic number.

It is an amenable number.

456886272 is an abundant number, since it is smaller than the sum of its proper divisors (761196048).

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

456886272 is an equidigital number, since it uses as much as digits as its factorization.

456886272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74388 (or 74368 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 456886272 is about 21374.8981751961. The cubic root of 456886272 is about 770.1985612620.

The spelling of 456886272 in words is "four hundred fifty-six million, eight hundred eighty-six thousand, two hundred seventy-two".