445957568 has 112 divisors (see below), whose sum is σ = 1055729664. Its totient is φ = 182891520.

The previous prime is 445957553. The next prime is 445957571. The reversal of 445957568 is 865759544.

It is a tau number, because it is divible by the number of its divisors (112).

Its product of digits (6048000) is a multiple of the sum of its prime divisors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2263646 + ... + 2263842.

Almost surely, 2^445957568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527864832).

445957568 is an abundant number, since it is smaller than the sum of its proper divisors (609772096).

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

445957568 is a wasteful number, since it uses less digits than its factorization.

445957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 400 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 53.

The square root of 445957568 is about 21117.7074513310. The cubic root of 445957568 is about 764.0078944389.

The spelling of 445957568 in words is "four hundred forty-five million, nine hundred fifty-seven thousand, five hundred sixty-eight".