455756112 has 160 divisors (see below), whose sum is σ = 1546924800. Its totient is φ = 125701632.

The previous prime is 455756101. The next prime is 455756129. The reversal of 455756112 is 211657554.

455756112 is a `hidden beast` number, since 45 + 57 + 561 + 1 + 2 = 666.

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

Its product of digits (42000) is a multiple of the sum of its prime factors (5250).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85098 + ... + 90294.

It is an arithmetic number, because the mean of its divisors is an integer number (9668280).

Almost surely, 2^455756112 is an apocalyptic number.

455756112 is a gapful number since it is divisible by the number (42) 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 455756112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773462400).

455756112 is an abundant number, since it is smaller than the sum of its proper divisors (1091168688).

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

455756112 is a wasteful number, since it uses less digits than its factorization.

455756112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5238 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 455756112 is about 21348.4451892872. The cubic root of 455756112 is about 769.5629790875.

The spelling of 455756112 in words is "four hundred fifty-five million, seven hundred fifty-six thousand, one hundred twelve".