445904844 has 144 divisors (see below), whose sum is σ = 1376390400. Its totient is φ = 109676160.

The previous prime is 445904827. The next prime is 445904861. The reversal of 445904844 is 448409544.

It is an interprime number because it is at equal distance from previous prime (445904827) and next prime (445904861).

It is a super-2 number, since 2×445904844² = 397662259805328672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 445904796 and 445904805.

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, 191962 + ... + 194270.

Almost surely, 2^445904844 is an apocalyptic number.

445904844 is a gapful number since it is divisible by the number (44) 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 445904844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688195200).

445904844 is an abundant number, since it is smaller than the sum of its proper divisors (930485556).

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

445904844 is a wasteful number, since it uses less digits than its factorization.

445904844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 445904844 is about 21116.4590781693. The cubic root of 445904844 is about 763.9777845938.

The spelling of 445904844 in words is "four hundred forty-five million, nine hundred four thousand, eight hundred forty-four".