445813368 has 288 divisors, whose sum is σ = 1541065680. Its totient is φ = 106444800.

The previous prime is 445813343. The next prime is 445813373. The reversal of 445813368 is 863318544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1849728 + ... + 1849968.

Almost surely, 2^445813368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445813368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770532840).

445813368 is an abundant number, since it is smaller than the sum of its proper divisors (1095252312).

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

445813368 is a wasteful number, since it uses less digits than its factorization.

445813368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 277 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 445813368 is about 21114.2929789278. The cubic root of 445813368 is about 763.9255384609.

The spelling of 445813368 in words is "four hundred forty-five million, eight hundred thirteen thousand, three hundred sixty-eight".