455892816960 has 504 divisors, whose sum is σ = 1828344674520. Its totient is φ = 103961346048.

The previous prime is 455892816947. The next prime is 455892816971. The reversal of 455892816960 is 69618298554.

455892816960 is a `hidden beast` number, since 4 + 558 + 9 + 2 + 8 + 16 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 86238544896 + 369654272064 = 293664^2 + 607992^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64488306 + ... + 64495374.

It is an arithmetic number, because the mean of its divisors is an integer number (3627668005).

Almost surely, 2^455892816960 is an apocalyptic number.

455892816960 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 455892816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914172337260).

455892816960 is an abundant number, since it is smaller than the sum of its proper divisors (1372451857560).

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

455892816960 is a wasteful number, since it uses less digits than its factorization.

455892816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7563 (or 7543 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 455892816960 in words is "four hundred fifty-five billion, eight hundred ninety-two million, eight hundred sixteen thousand, nine hundred sixty".