445265920 has 192 divisors, whose sum is σ = 1202947200. Its totient is φ = 156794880.

The previous prime is 445265917. The next prime is 445265923. The reversal of 445265920 is 29562544.

It is an interprime number because it is at equal distance from previous prime (445265917) and next prime (445265923).

It is a self number, because there is not a number n which added to its sum of digits gives 445265920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445265923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6645727 + ... + 6645793.

It is an arithmetic number, because the mean of its divisors is an integer number (6265350).

Almost surely, 2^445265920 is an apocalyptic number.

445265920 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 445265920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601473600).

445265920 is an abundant number, since it is smaller than the sum of its proper divisors (757681280).

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

445265920 is a wasteful number, since it uses less digits than its factorization.

445265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 445265920 is about 21101.3250768761. The cubic root of 445265920 is about 763.6127163707.

The spelling of 445265920 in words is "four hundred forty-five million, two hundred sixty-five thousand, nine hundred twenty".