451332864 has 288 divisors, whose sum is σ = 1483453440. Its totient is φ = 134627328.

The previous prime is 451332857. The next prime is 451332899. The reversal of 451332864 is 468233154.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 2702509 + ... + 2702675.

It is an arithmetic number, because the mean of its divisors is an integer number (5150880).

Almost surely, 2^451332864 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 451332864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741726720).

451332864 is an abundant number, since it is smaller than the sum of its proper divisors (1032120576).

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

451332864 is a wasteful number, since it uses less digits than its factorization.

451332864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 451332864 is about 21244.5961128942. The cubic root of 451332864 is about 767.0652690528.

The spelling of 451332864 in words is "four hundred fifty-one million, three hundred thirty-two thousand, eight hundred sixty-four".