454633956 has 108 divisors (see below), whose sum is σ = 1351130508. Its totient is φ = 128507904.

The previous prime is 454633951. The next prime is 454633967. The reversal of 454633956 is 659336454.

454633956 is a `hidden beast` number, since 4 + 5 + 4 + 633 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250715556 + 203918400 = 15834^2 + 14280^2 .

It is not an unprimeable number, because it can be changed into a prime (454633951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169780 + ... + 172436.

Almost surely, 2^454633956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454633956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675565254).

454633956 is an abundant number, since it is smaller than the sum of its proper divisors (896496552).

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

454633956 is a wasteful number, since it uses less digits than its factorization.

454633956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2766 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 454633956 is about 21322.1470776280. The cubic root of 454633956 is about 768.9308577848.

The spelling of 454633956 in words is "four hundred fifty-four million, six hundred thirty-three thousand, nine hundred fifty-six".