455986871824 has 135 divisors (see below), whose sum is σ = 987236942349. Its totient is φ = 203876914560.

The previous prime is 455986871819. The next prime is 455986871863. The reversal of 455986871824 is 428178689554.

The square root of 455986871824 is 675268.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 53422001424 + 402564870400 = 231132^2 + 634480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 455986871824.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3060314502 + ... + 3060314650.

Almost surely, 2^455986871824 is an apocalyptic number.

455986871824 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

455986871824 is the 675268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455986871824

455986871824 is an abundant number, since it is smaller than the sum of its proper divisors (531250070525).

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

455986871824 is a wasteful number, since it uses less digits than its factorization.

455986871824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 265 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 67.

The spelling of 455986871824 in words is "four hundred fifty-five billion, nine hundred eighty-six million, eight hundred seventy-one thousand, eight hundred twenty-four".