451957968 has 300 divisors, whose sum is σ = 1662563232. Its totient is φ = 117210240.

The previous prime is 451957939. The next prime is 451957999. The reversal of 451957968 is 869759154.

451957968 is a `hidden beast` number, since 4 + 5 + 1 + 9 + 579 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 698221 + ... + 698867.

Almost surely, 2^451957968 is an apocalyptic number.

451957968 is a gapful number since it is divisible by the number (48) 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 451957968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831281616).

451957968 is an abundant number, since it is smaller than the sum of its proper divisors (1210605264).

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

451957968 is a wasteful number, since it uses less digits than its factorization.

451957968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 670 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 451957968 is about 21259.3030929991. The cubic root of 451957968 is about 767.4192386736.

The spelling of 451957968 in words is "four hundred fifty-one million, nine hundred fifty-seven thousand, nine hundred sixty-eight".