454204820800 has 84 divisors (see below), whose sum is σ = 1156166742780. Its totient is φ = 175417016320.

The previous prime is 454204820791. The next prime is 454204820813. The reversal of 454204820800 is 8028402454.

It can be written as a sum of positive squares in 6 ways, for example, as 23627378944 + 430577441856 = 153712^2 + 656184^2 .

It is a super-2 number, since 2×454204820800² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 454204820800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4848049 + ... + 4940848.

It is an arithmetic number, because the mean of its divisors is an integer number (13763889795).

Almost surely, 2^454204820800 is an apocalyptic number.

454204820800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

454204820800 is an abundant number, since it is smaller than the sum of its proper divisors (701961921980).

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

454204820800 is a wasteful number, since it uses less digits than its factorization.

454204820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9788948 (or 9788933 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 37.

The spelling of 454204820800 in words is "four hundred fifty-four billion, two hundred four million, eight hundred twenty thousand, eight hundred".