451459472 has 40 divisors (see below), whose sum is σ = 908479800. Its totient is φ = 217075712.

The previous prime is 451459471. The next prime is 451459499. The reversal of 451459472 is 274954154.

It can be written as a sum of positive squares in 4 ways, for example, as 20647936 + 430811536 = 4544^2 + 20756^2 .

It is not an unprimeable number, because it can be changed into a prime (451459471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123008 + ... + 126624.

It is an arithmetic number, because the mean of its divisors is an integer number (22711995).

Almost surely, 2^451459472 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 451459472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454239900).

451459472 is an abundant number, since it is smaller than the sum of its proper divisors (457020328).

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

451459472 is a wasteful number, since it uses less digits than its factorization.

451459472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3923 (or 3917 counting only the distinct ones).

The product of its digits is 201600, while the sum is 41.

The square root of 451459472 is about 21247.5756734739. The cubic root of 451459472 is about 767.1369881229.

The spelling of 451459472 in words is "four hundred fifty-one million, four hundred fifty-nine thousand, four hundred seventy-two".