445557490560 has 1536 divisors, whose sum is σ = 2068356326400. Its totient is φ = 89006211072.

The previous prime is 445557490549. The next prime is 445557490591. The reversal of 445557490560 is 65094755544.

445557490560 is a `hidden beast` number, since 4 + 4 + 5 + 5 + 5 + 74 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×445557490560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 445557490497 and 445557490506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 268893252 + ... + 268894908.

It is an arithmetic number, because the mean of its divisors is an integer number (1346586150).

Almost surely, 2^445557490560 is an apocalyptic number.

445557490560 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 445557490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034178163200).

445557490560 is an abundant number, since it is smaller than the sum of its proper divisors (1622798835840).

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

445557490560 is a wasteful number, since it uses less digits than its factorization.

445557490560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 15120000, while the sum is 54.

The spelling of 445557490560 in words is "four hundred forty-five billion, five hundred fifty-seven million, four hundred ninety thousand, five hundred sixty".