451471464 has 96 divisors (see below), whose sum is σ = 1291867200. Its totient is φ = 142041600.

The previous prime is 451471453. The next prime is 451471477. The reversal of 451471464 is 464174154.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 548157 + ... + 548979.

It is an arithmetic number, because the mean of its divisors is an integer number (13456950).

Almost surely, 2^451471464 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 451471464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645933600).

451471464 is an abundant number, since it is smaller than the sum of its proper divisors (840395736).

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

451471464 is a wasteful number, since it uses less digits than its factorization.

451471464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1248 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 451471464 is about 21247.8578685005. The cubic root of 451471464 is about 767.1437804825.

The spelling of 451471464 in words is "four hundred fifty-one million, four hundred seventy-one thousand, four hundred sixty-four".