456113320 has 64 divisors (see below), whose sum is σ = 1109823120. Its totient is φ = 167706624.

The previous prime is 456113309. The next prime is 456113321. The reversal of 456113320 is 23311654.

It can be written as a sum of positive squares in 8 ways, for example, as 370254564 + 85858756 = 19242^2 + 9266^2 .

It is not an unprimeable number, because it can be changed into a prime (456113321) 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 15 ways as a sum of consecutive naturals, for example, 131934 + ... + 135346.

Almost surely, 2^456113320 is an apocalyptic number.

456113320 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 456113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554911560).

456113320 is an abundant number, since it is smaller than the sum of its proper divisors (653709800).

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

456113320 is a wasteful number, since it uses less digits than its factorization.

456113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 456113320 is about 21356.8096868423. The cubic root of 456113320 is about 769.7639800605.

Adding to 456113320 its reverse (23311654), we get a palindrome (479424974).

The spelling of 456113320 in words is "four hundred fifty-six million, one hundred thirteen thousand, three hundred twenty".