445286520 has 144 divisors (see below), whose sum is σ = 1683522360. Its totient is φ = 101775744.

The previous prime is 445286459. The next prime is 445286521. The reversal of 445286520 is 25682544.

It is a happy number.

445286520 is a `hidden beast` number, since 4 + 4 + 52 + 86 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445286521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5019 + ... + 30261.

Almost surely, 2^445286520 is an apocalyptic number.

445286520 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 445286520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841761180).

445286520 is an abundant number, since it is smaller than the sum of its proper divisors (1238235840).

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

445286520 is a wasteful number, since it uses less digits than its factorization.

445286520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25274 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 445286520 is about 21101.8131922354. The cubic root of 445286520 is about 763.6244922397.

The spelling of 445286520 in words is "four hundred forty-five million, two hundred eighty-six thousand, five hundred twenty".