454963968 has 162 divisors, whose sum is σ = 1386978684. Its totient is φ = 143410176.

The previous prime is 454963961. The next prime is 454963973. The reversal of 454963968 is 869369454.

454963968 is a `hidden beast` number, since 4 + 549 + 6 + 3 + 96 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (454963961) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 831471 + ... + 832017.

Almost surely, 2^454963968 is an apocalyptic number.

454963968 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 454963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693489342).

454963968 is an abundant number, since it is smaller than the sum of its proper divisors (932014716).

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

454963968 is a wasteful number, since it uses less digits than its factorization.

454963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 571 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 454963968 is about 21329.8843878723. The cubic root of 454963968 is about 769.1168645948.

The spelling of 454963968 in words is "four hundred fifty-four million, nine hundred sixty-three thousand, nine hundred sixty-eight".