445916160 has 132 divisors (see below), whose sum is σ = 1545247548. Its totient is φ = 118898688.

The previous prime is 445916153. The next prime is 445916173. The reversal of 445916160 is 61619544.

445916160 is a `hidden beast` number, since 4 + 4 + 591 + 6 + 1 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 212926464 = 15264^2 + 14592^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41242 + ... + 50918.

Almost surely, 2^445916160 is an apocalyptic number.

445916160 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 445916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772623774).

445916160 is an abundant number, since it is smaller than the sum of its proper divisors (1099331388).

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

445916160 is a wasteful number, since it uses less digits than its factorization.

445916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9708 (or 9687 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 445916160 is about 21116.7270191192. The cubic root of 445916160 is about 763.9842471830.

The spelling of 445916160 in words is "four hundred forty-five million, nine hundred sixteen thousand, one hundred sixty".