455611968 has 336 divisors, whose sum is σ = 1654698240. Its totient is φ = 117190656.

The previous prime is 455611957. The next prime is 455611987. The reversal of 455611968 is 869116554.

455611968 is a `hidden beast` number, since 4 + 556 + 1 + 1 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19809205 + ... + 19809227.

Almost surely, 2^455611968 is an apocalyptic number.

455611968 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 455611968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827349120).

455611968 is an abundant number, since it is smaller than the sum of its proper divisors (1199086272).

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

455611968 is a wasteful number, since it uses less digits than its factorization.

455611968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 455611968 is about 21345.0689387502. The cubic root of 455611968 is about 769.4818395044.

The spelling of 455611968 in words is "four hundred fifty-five million, six hundred eleven thousand, nine hundred sixty-eight".