455749632 has 208 divisors, whose sum is σ = 1458653280. Its totient is φ = 139788288.

The previous prime is 455749603. The next prime is 455749649. The reversal of 455749632 is 236947554.

455749632 is a `hidden beast` number, since 4 + 5 + 5 + 7 + 4 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1437538 + ... + 1437854.

Almost surely, 2^455749632 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 455749632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729326640).

455749632 is an abundant number, since it is smaller than the sum of its proper divisors (1002903648).

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

455749632 is a wasteful number, since it uses less digits than its factorization.

455749632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 335 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 455749632 is about 21348.2934212550. The cubic root of 455749632 is about 769.5593318211.

The spelling of 455749632 in words is "four hundred fifty-five million, seven hundred forty-nine thousand, six hundred thirty-two".