455076864 has 198 divisors, whose sum is σ = 1455195924. Its totient is φ = 135843840.

The previous prime is 455076863. The next prime is 455076871. The reversal of 455076864 is 468670554.

It is a tau number, because it is divible by the number of its divisors (198).

It is not an unprimeable number, because it can be changed into a prime (455076863) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6792159 + ... + 6792225.

Almost surely, 2^455076864 is an apocalyptic number.

455076864 is a gapful number since it is divisible by the number (44) 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 455076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727597962).

455076864 is an abundant number, since it is smaller than the sum of its proper divisors (1000119060).

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

455076864 is a wasteful number, since it uses less digits than its factorization.

455076864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 455076864 is about 21332.5306515659. The cubic root of 455076864 is about 769.1804762524.

The spelling of 455076864 in words is "four hundred fifty-five million, seventy-six thousand, eight hundred sixty-four".