445885920 has 288 divisors, whose sum is σ = 1643241600. Its totient is φ = 109734912.

The previous prime is 445885907. The next prime is 445885931. The reversal of 445885920 is 29588544.

445885920 is a `hidden beast` number, since 4 + 4 + 58 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1176291 + ... + 1176669.

It is an arithmetic number, because the mean of its divisors is an integer number (5705700).

Almost surely, 2^445885920 is an apocalyptic number.

445885920 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 445885920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821620800).

445885920 is an abundant number, since it is smaller than the sum of its proper divisors (1197355680).

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

445885920 is a wasteful number, since it uses less digits than its factorization.

445885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 445885920 is about 21116.0109869265. The cubic root of 445885920 is about 763.9669768170.

The spelling of 445885920 in words is "four hundred forty-five million, eight hundred eighty-five thousand, nine hundred twenty".