451552960 has 56 divisors (see below), whose sum is σ = 1093530960. Its totient is φ = 177552384.

The previous prime is 451552949. The next prime is 451552973. The reversal of 451552960 is 69255154.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6922 + ... + 30838.

Almost surely, 2^451552960 is an apocalyptic number.

451552960 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 451552960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546765480).

451552960 is an abundant number, since it is smaller than the sum of its proper divisors (641978000).

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

451552960 is a wasteful number, since it uses less digits than its factorization.

451552960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23993 (or 23983 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 451552960 is about 21249.7755282262. The cubic root of 451552960 is about 767.1899372485.

It can be divided in two parts, 4515 and 52960, that added together give a palindrome (57475).

The spelling of 451552960 in words is "four hundred fifty-one million, five hundred fifty-two thousand, nine hundred sixty".