456031920 has 160 divisors (see below), whose sum is σ = 1504903680. Its totient is φ = 113909760.

The previous prime is 456031909. The next prime is 456031921. The reversal of 456031920 is 29130654.

It is a super-2 number, since 2×456031920² = 415930224117772800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (456031921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 441805 + ... + 442835.

It is an arithmetic number, because the mean of its divisors is an integer number (9405648).

Almost surely, 2^456031920 is an apocalyptic number.

456031920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456031920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752451840).

456031920 is an abundant number, since it is smaller than the sum of its proper divisors (1048871760).

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

456031920 is a wasteful number, since it uses less digits than its factorization.

456031920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 456031920 is about 21354.9038864613. The cubic root of 456031920 is about 769.7181855083.

The spelling of 456031920 in words is "four hundred fifty-six million, thirty-one thousand, nine hundred twenty".