456000820 has 24 divisors (see below), whose sum is σ = 1044656928. Its totient is φ = 165818400.

The previous prime is 456000799. The next prime is 456000821. The reversal of 456000820 is 28000654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456000821) by changing a digit.

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, 1036146 + ... + 1036585.

It is an arithmetic number, because the mean of its divisors is an integer number (43527372).

Almost surely, 2^456000820 is an apocalyptic number.

It is an amenable number.

456000820 is an abundant number, since it is smaller than the sum of its proper divisors (588656108).

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

456000820 is a wasteful number, since it uses less digits than its factorization.

456000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072751 (or 2072749 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 456000820 is about 21354.1757040631. The cubic root of 456000820 is about 769.7006876251.

The spelling of 456000820 in words is "four hundred fifty-six million, eight hundred twenty", and thus it is an aban number.