451442500560 has 120 divisors (see below), whose sum is σ = 1526269890600. Its totient is φ = 119576687616.

The previous prime is 451442500541. The next prime is 451442500627. The reversal of 451442500560 is 65005244154.

451442500560 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 42 + 50 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35866299456 + 415576201104 = 189384^2 + 644652^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 1996759 + ... + 2211318.

It is an arithmetic number, because the mean of its divisors is an integer number (12718915755).

Almost surely, 2^451442500560 is an apocalyptic number.

451442500560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451442500560 is an abundant number, since it is smaller than the sum of its proper divisors (1074827390040).

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

451442500560 is a wasteful number, since it uses less digits than its factorization.

451442500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208245 (or 4208236 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 451442500560 in words is "four hundred fifty-one billion, four hundred forty-two million, five hundred thousand, five hundred sixty".