451493602560 has 2304 divisors, whose sum is σ = 2225839472640. Its totient is φ = 83607552000.

The previous prime is 451493602537. The next prime is 451493602619. The reversal of 451493602560 is 65206394154.

451493602560 is a `hidden beast` number, since 4 + 51 + 4 + 9 + 36 + 0 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 1072431150 + ... + 1072431570.

It is an arithmetic number, because the mean of its divisors is an integer number (966076160).

Almost surely, 2^451493602560 is an apocalyptic number.

451493602560 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 451493602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112919736320).

451493602560 is an abundant number, since it is smaller than the sum of its proper divisors (1774345870080).

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

451493602560 is a wasteful number, since it uses less digits than its factorization.

451493602560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 451493602560 in words is "four hundred fifty-one billion, four hundred ninety-three million, six hundred two thousand, five hundred sixty".