455085936 has 60 divisors (see below), whose sum is σ = 1280089200. Its totient is φ = 150923520.

The previous prime is 455085923. The next prime is 455085973. The reversal of 455085936 is 639580554.

455085936 is a `hidden beast` number, since 4 + 5 + 50 + 8 + 593 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 455085891 and 455085900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20716 + ... + 36596.

It is an arithmetic number, because the mean of its divisors is an integer number (21334820).

Almost surely, 2^455085936 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 455085936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640044600).

455085936 is an abundant number, since it is smaller than the sum of its proper divisors (825003264).

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

455085936 is a wasteful number, since it uses less digits than its factorization.

455085936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16094 (or 16085 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 455085936 is about 21332.7432835067. The cubic root of 455085936 is about 769.1855874468.

The spelling of 455085936 in words is "four hundred fifty-five million, eighty-five thousand, nine hundred thirty-six".