456440000 has 70 divisors (see below), whose sum is σ = 1131922044. Its totient is φ = 182560000.

The previous prime is 456439993. The next prime is 456440011. The reversal of 456440000 is 44654.

It is a happy number.

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 9 ways as a sum of consecutive naturals, for example, 34295 + ... + 45705.

Almost surely, 2^456440000 is an apocalyptic number.

456440000 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 456440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565961022).

456440000 is an abundant number, since it is smaller than the sum of its proper divisors (675482044).

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

456440000 is an equidigital number, since it uses as much as digits as its factorization.

456440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11443 (or 11418 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 456440000 is about 21364.4564639497. The cubic root of 456440000 is about 769.9477110723.

Adding to 456440000 its reverse (44654), we get a palindrome (456484654).

The spelling of 456440000 in words is "four hundred fifty-six million, four hundred forty thousand".