455913864 has 192 divisors, whose sum is σ = 1464777600. Its totient is φ = 125411328.

The previous prime is 455913863. The next prime is 455913923. The reversal of 455913864 is 468319554.

455913864 is a `hidden beast` number, since 4 + 559 + 1 + 38 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (455913863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2362152 + ... + 2362344.

It is an arithmetic number, because the mean of its divisors is an integer number (7629050).

Almost surely, 2^455913864 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 455913864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732388800).

455913864 is an abundant number, since it is smaller than the sum of its proper divisors (1008863736).

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

455913864 is a wasteful number, since it uses less digits than its factorization.

455913864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 357 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 455913864 is about 21352.1395649242. The cubic root of 455913864 is about 769.6517590963.

It can be divided in two parts, 45591 and 3864, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 455913864 in words is "four hundred fifty-five million, nine hundred thirteen thousand, eight hundred sixty-four".