445793920 has 128 divisors (see below), whose sum is σ = 1252298880. Its totient is φ = 149606400.

The previous prime is 445793899. The next prime is 445793963. The reversal of 445793920 is 29397544.

It is a tau number, because it is divible by the number of its divisors (128).

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, 89085 + ... + 93955.

It is an arithmetic number, because the mean of its divisors is an integer number (9783585).

Almost surely, 2^445793920 is an apocalyptic number.

445793920 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 445793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626149440).

445793920 is an abundant number, since it is smaller than the sum of its proper divisors (806504960).

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

445793920 is a wasteful number, since it uses less digits than its factorization.

445793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The square root of 445793920 is about 21113.8324327915. The cubic root of 445793920 is about 763.9144298962.

The spelling of 445793920 in words is "four hundred forty-five million, seven hundred ninety-three thousand, nine hundred twenty".