451631472 has 80 divisors (see below), whose sum is σ = 1209758880. Its totient is φ = 145069056.

The previous prime is 451631459. The next prime is 451631513. The reversal of 451631472 is 274136154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192418 + ... + 194750.

It is an arithmetic number, because the mean of its divisors is an integer number (15121986).

Almost surely, 2^451631472 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 451631472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604879440).

451631472 is an abundant number, since it is smaller than the sum of its proper divisors (758127408).

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

451631472 is a wasteful number, since it uses less digits than its factorization.

451631472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2484 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 451631472 is about 21251.6228086233. The cubic root of 451631472 is about 767.2343987189.

The spelling of 451631472 in words is "four hundred fifty-one million, six hundred thirty-one thousand, four hundred seventy-two".