451451456 has 56 divisors (see below), whose sum is σ = 966566520. Its totient is φ = 208412672.

The previous prime is 451451431. The next prime is 451451461. The reversal of 451451456 is 654154154.

It can be written as a sum of positive squares in 4 ways, for example, as 84345856 + 367105600 = 9184^2 + 19160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53750 + ... + 61578.

Almost surely, 2^451451456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483283260).

451451456 is an abundant number, since it is smaller than the sum of its proper divisors (515115064).

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

451451456 is a wasteful number, since it uses less digits than its factorization.

451451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7911 (or 7901 counting only the distinct ones).

The product of its digits is 48000, while the sum is 35.

The square root of 451451456 is about 21247.3870393515. The cubic root of 451451456 is about 767.1324477327.

The spelling of 451451456 in words is "four hundred fifty-one million, four hundred fifty-one thousand, four hundred fifty-six".