445874520 has 384 divisors, whose sum is σ = 1769644800. Its totient is φ = 88833024.

The previous prime is 445874509. The next prime is 445874551. The reversal of 445874520 is 25478544.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1452207 + ... + 1452513.

It is an arithmetic number, because the mean of its divisors is an integer number (4608450).

Almost surely, 2^445874520 is an apocalyptic number.

445874520 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 445874520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884822400).

445874520 is an abundant number, since it is smaller than the sum of its proper divisors (1323770280).

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

445874520 is a wasteful number, since it uses less digits than its factorization.

445874520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

The square root of 445874520 is about 21115.7410478534. The cubic root of 445874520 is about 763.9604659605.

The spelling of 445874520 in words is "four hundred forty-five million, eight hundred seventy-four thousand, five hundred twenty".