451632960 has 84 divisors (see below), whose sum is σ = 1553439108. Its totient is φ = 120434688.

The previous prime is 451632943. The next prime is 451632971. The reversal of 451632960 is 69236154.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 360392256 + 91240704 = 18984^2 + 9552^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75529 + ... + 81288.

Almost surely, 2^451632960 is an apocalyptic number.

451632960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451632960 is an abundant number, since it is smaller than the sum of its proper divisors (1101806148).

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

451632960 is a wasteful number, since it uses less digits than its factorization.

451632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156840 (or 156827 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 451632960 is about 21251.6578176857. The cubic root of 451632960 is about 767.2352413259.

The spelling of 451632960 in words is "four hundred fifty-one million, six hundred thirty-two thousand, nine hundred sixty".