454966956 has 144 divisors (see below), whose sum is σ = 1273918464. Its totient is φ = 141647616.

The previous prime is 454966921. The next prime is 454966973. The reversal of 454966956 is 659669454.

454966956 is a `hidden beast` number, since 4 + 549 + 6 + 6 + 95 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050516 + ... + 1050948.

It is an arithmetic number, because the mean of its divisors is an integer number (8846656).

Almost surely, 2^454966956 is an apocalyptic number.

454966956 is a gapful number since it is divisible by the number (46) 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 454966956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636959232).

454966956 is an abundant number, since it is smaller than the sum of its proper divisors (818951508).

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

454966956 is a wasteful number, since it uses less digits than its factorization.

454966956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 454966956 is about 21329.9544303311. The cubic root of 454966956 is about 769.1185483297.

The spelling of 454966956 in words is "four hundred fifty-four million, nine hundred sixty-six thousand, nine hundred fifty-six".