445016160 has 192 divisors, whose sum is σ = 1608284160. Its totient is φ = 114808320.

The previous prime is 445016147. The next prime is 445016161. The reversal of 445016160 is 61610544.

445016160 is a `hidden beast` number, since 4 + 45 + 0 + 1 + 616 + 0 = 666.

It is a super-2 number, since 2×445016160² = 396078765322291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445016161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132259 + ... + 135581.

It is an arithmetic number, because the mean of its divisors is an integer number (8376480).

Almost surely, 2^445016160 is an apocalyptic number.

445016160 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 445016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804142080).

445016160 is an abundant number, since it is smaller than the sum of its proper divisors (1163268000).

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

445016160 is a wasteful number, since it uses less digits than its factorization.

445016160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 445016160 is about 21095.4061349859. The cubic root of 445016160 is about 763.4699136287.

The spelling of 445016160 in words is "four hundred forty-five million, sixteen thousand, one hundred sixty".