451251252 has 144 divisors (see below), whose sum is σ = 1241210880. Its totient is φ = 137894400.

The previous prime is 451251209. The next prime is 451251263. The reversal of 451251252 is 252152154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2362477 + ... + 2362667.

It is an arithmetic number, because the mean of its divisors is an integer number (8619520).

Almost surely, 2^451251252 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 451251252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620605440).

451251252 is an abundant number, since it is smaller than the sum of its proper divisors (789959628).

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

451251252 is a wasteful number, since it uses less digits than its factorization.

451251252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 451251252 is about 21242.6752552497. The cubic root of 451251252 is about 767.0190315568.

The spelling of 451251252 in words is "four hundred fifty-one million, two hundred fifty-one thousand, two hundred fifty-two".