451968960 has 224 divisors, whose sum is σ = 1536192000. Its totient is φ = 112250880.

The previous prime is 451968943. The next prime is 451968971. The reversal of 451968960 is 69869154.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1294866 + ... + 1295214.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^451968960 is an apocalyptic number.

451968960 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 451968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

451968960 is an abundant number, since it is smaller than the sum of its proper divisors (1084223040).

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

451968960 is a wasteful number, since it uses less digits than its factorization.

451968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 451968960 is about 21259.5616135423. The cubic root of 451968960 is about 767.4254600514.

The spelling of 451968960 in words is "four hundred fifty-one million, nine hundred sixty-eight thousand, nine hundred sixty".