455292864 has 168 divisors, whose sum is σ = 1440649392. Its totient is φ = 136581120.

The previous prime is 455292833. The next prime is 455292869. The reversal of 455292864 is 468292554.

455292864 is a `hidden beast` number, since 4 + 552 + 92 + 8 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455292869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306267 + ... + 307749.

It is an arithmetic number, because the mean of its divisors is an integer number (8575294).

Almost surely, 2^455292864 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 455292864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720324696).

455292864 is an abundant number, since it is smaller than the sum of its proper divisors (985356528).

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

455292864 is a wasteful number, since it uses less digits than its factorization.

455292864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1542 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 455292864 is about 21337.5927414505. The cubic root of 455292864 is about 769.3021529160.

The spelling of 455292864 in words is "four hundred fifty-five million, two hundred ninety-two thousand, eight hundred sixty-four".