451238976 has 168 divisors, whose sum is σ = 1373209344. Its totient is φ = 141419520.

The previous prime is 451238971. The next prime is 451238981. The reversal of 451238976 is 679832154.

It is an interprime number because it is at equal distance from previous prime (451238971) and next prime (451238981).

It is a super-2 number, since 2×451238976² = 407233226923057152, which contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime divisors (756).

It is not an unprimeable number, because it can be changed into a prime (451238971) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 660331 + ... + 661013.

Almost surely, 2^451238976 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 451238976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686604672).

451238976 is an abundant number, since it is smaller than the sum of its proper divisors (921970368).

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

451238976 is a wasteful number, since it uses less digits than its factorization.

451238976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 451238976 is about 21242.3863066276. The cubic root of 451238976 is about 767.0120760740.

The spelling of 451238976 in words is "four hundred fifty-one million, two hundred thirty-eight thousand, nine hundred seventy-six".