451137456 has 480 divisors, whose sum is σ = 1727032320. Its totient is φ = 106444800.

The previous prime is 451137419. The next prime is 451137469. The reversal of 451137456 is 654731154.

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 451137456.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 7395666 + ... + 7395726.

It is an arithmetic number, because the mean of its divisors is an integer number (3597984).

Almost surely, 2^451137456 is an apocalyptic number.

451137456 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 451137456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863516160).

451137456 is an abundant number, since it is smaller than the sum of its proper divisors (1275894864).

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

451137456 is a wasteful number, since it uses less digits than its factorization.

451137456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 136 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 451137456 is about 21239.9966101692. The cubic root of 451137456 is about 766.9545508229.

The spelling of 451137456 in words is "four hundred fifty-one million, one hundred thirty-seven thousand, four hundred fifty-six".