451541664 has 180 divisors, whose sum is σ = 1500288426. Its totient is φ = 128814336.

The previous prime is 451541653. The next prime is 451541683. The reversal of 451541664 is 466145154.

451541664 is a `hidden beast` number, since 4 + 51 + 541 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 423536400 + 28005264 = 20580^2 + 5292^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 691162 + ... + 691814.

Almost surely, 2^451541664 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 451541664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750144213).

451541664 is an abundant number, since it is smaller than the sum of its proper divisors (1048746762).

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

451541664 is an equidigital number, since it uses as much as digits as its factorization.

451541664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 665 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 451541664 is about 21249.5097355210. The cubic root of 451541664 is about 767.1835398816.

The spelling of 451541664 in words is "four hundred fifty-one million, five hundred forty-one thousand, six hundred sixty-four".