451663968 has 72 divisors (see below), whose sum is σ = 1379202552. Its totient is φ = 129045504.

The previous prime is 451663967. The next prime is 451663981. The reversal of 451663968 is 869366154.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451663967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43305 + ... + 52712.

It is an arithmetic number, because the mean of its divisors is an integer number (19155591).

Almost surely, 2^451663968 is an apocalyptic number.

451663968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

451663968 is an abundant number, since it is smaller than the sum of its proper divisors (927538584).

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

451663968 is a wasteful number, since it uses less digits than its factorization.

451663968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96044 (or 96029 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 451663968 is about 21252.3873482487. The cubic root of 451663968 is about 767.2527997476.

The spelling of 451663968 in words is "four hundred fifty-one million, six hundred sixty-three thousand, nine hundred sixty-eight".