451249164 has 96 divisors (see below), whose sum is σ = 1274112000. Its totient is φ = 137567808.

The previous prime is 451249163. The next prime is 451249177. The reversal of 451249164 is 461942154.

451249164 is a `hidden beast` number, since 451 + 2 + 49 + 164 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (451249163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55717 + ... + 63299.

It is an arithmetic number, because the mean of its divisors is an integer number (13272000).

Almost surely, 2^451249164 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 451249164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637056000).

451249164 is an abundant number, since it is smaller than the sum of its proper divisors (822862836).

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

451249164 is a wasteful number, since it uses less digits than its factorization.

451249164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7636 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 451249164 is about 21242.6261088407. The cubic root of 451249164 is about 767.0178485217.

The spelling of 451249164 in words is "four hundred fifty-one million, two hundred forty-nine thousand, one hundred sixty-four".