451344456 has 96 divisors (see below), whose sum is σ = 1280448000. Its totient is φ = 143354112.

The previous prime is 451344451. The next prime is 451344497. The reversal of 451344456 is 654443154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 451344456.

It is not an unprimeable number, because it can be changed into a prime (451344451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792940 + ... + 793508.

It is an arithmetic number, because the mean of its divisors is an integer number (13338000).

Almost surely, 2^451344456 is an apocalyptic number.

451344456 is a gapful number since it is divisible by the number (46) 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 451344456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640224000).

451344456 is an abundant number, since it is smaller than the sum of its proper divisors (829103544).

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

451344456 is a wasteful number, since it uses less digits than its factorization.

451344456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1076 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 451344456 is about 21244.8689334625. The cubic root of 451344456 is about 767.0718360791.

The spelling of 451344456 in words is "four hundred fifty-one million, three hundred forty-four thousand, four hundred fifty-six".