451504160 has 48 divisors (see below), whose sum is σ = 1076506200. Its totient is φ = 178937856.

The previous prime is 451504159. The next prime is 451504189. The reversal of 451504160 is 61405154.

It can be written as a sum of positive squares in 4 ways, for example, as 448931344 + 2572816 = 21188^2 + 1604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4496 + ... + 30384.

Almost surely, 2^451504160 is an apocalyptic number.

451504160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538253100).

451504160 is an abundant number, since it is smaller than the sum of its proper divisors (625002040).

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

451504160 is a wasteful number, since it uses less digits than its factorization.

451504160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26013 (or 26005 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 451504160 is about 21248.6272497778. The cubic root of 451504160 is about 767.1622991336.

The spelling of 451504160 in words is "four hundred fifty-one million, five hundred four thousand, one hundred sixty".