455468948640 has 240 divisors, whose sum is σ = 1615594409352. Its totient is φ = 120841168896.

The previous prime is 455468948629. The next prime is 455468948677. The reversal of 455468948640 is 46849864554.

455468948640 is a `hidden beast` number, since 4 + 5 + 5 + 468 + 94 + 86 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 442453789584 + 13015159056 = 665172^2 + 114084^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2463922 + ... + 2642318.

Almost surely, 2^455468948640 is an apocalyptic number.

455468948640 is a gapful number since it is divisible by the number (40) 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 455468948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807797204676).

455468948640 is an abundant number, since it is smaller than the sum of its proper divisors (1160125460712).

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

455468948640 is a wasteful number, since it uses less digits than its factorization.

455468948640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178621 (or 178604 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 455468948640 in words is "four hundred fifty-five billion, four hundred sixty-eight million, nine hundred forty-eight thousand, six hundred forty".