445164720 has 640 divisors, whose sum is σ = 1979873280. Its totient is φ = 79626240.

The previous prime is 445164679. The next prime is 445164787. The reversal of 445164720 is 27461544.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4084026 + ... + 4084134.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2^445164720 is an apocalyptic number.

445164720 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 445164720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

445164720 is an abundant number, since it is smaller than the sum of its proper divisors (1534708560).

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

445164720 is a wasteful number, since it uses less digits than its factorization.

445164720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 445164720 is about 21098.9269869347. The cubic root of 445164720 is about 763.5548607099.

The spelling of 445164720 in words is "four hundred forty-five million, one hundred sixty-four thousand, seven hundred twenty".