445661568 has 256 divisors, whose sum is σ = 1512864000. Its totient is φ = 127733760.

The previous prime is 445661563. The next prime is 445661603. The reversal of 445661568 is 865166544.

It is a super-2 number, since 2×445661568² = 397228466384437248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445661563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 721996 + ... + 722612.

It is an arithmetic number, because the mean of its divisors is an integer number (5909625).

Almost surely, 2^445661568 is an apocalyptic number.

445661568 is a gapful number since it is divisible by the number (48) 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 445661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756432000).

445661568 is an abundant number, since it is smaller than the sum of its proper divisors (1067202432).

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

445661568 is a wasteful number, since it uses less digits than its factorization.

445661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 652 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 445661568 is about 21110.6979515126. The cubic root of 445661568 is about 763.8388227561.

The spelling of 445661568 in words is "four hundred forty-five million, six hundred sixty-one thousand, five hundred sixty-eight".