455864112 has 420 divisors, whose sum is σ = 1622318040. Its totient is φ = 123171840.

The previous prime is 455864099. The next prime is 455864119. The reversal of 455864112 is 211468554.

It is a happy number.

455864112 is a `hidden beast` number, since 4 + 5 + 5 + 8 + 641 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455864119) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 23992839 + ... + 23992857.

It is an arithmetic number, because the mean of its divisors is an integer number (3862662).

Almost surely, 2^455864112 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 455864112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811159020).

455864112 is an abundant number, since it is smaller than the sum of its proper divisors (1166453928).

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

455864112 is a wasteful number, since it uses less digits than its factorization.

455864112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 52 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 455864112 is about 21350.9744976664. The cubic root of 455864112 is about 769.6237617702.

The spelling of 455864112 in words is "four hundred fifty-five million, eight hundred sixty-four thousand, one hundred twelve".