445433504 has 48 divisors (see below), whose sum is σ = 909808200. Its totient is φ = 214416384.

The previous prime is 445433503. The next prime is 445433537. The reversal of 445433504 is 405334544.

It can be written as a sum of positive squares in 4 ways, for example, as 421891600 + 23541904 = 20540^2 + 4852^2 .

It is a super-2 number, since 2×445433504² = 396822012971436032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (445433503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627902 + ... + 628610.

Almost surely, 2^445433504 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 445433504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454904100).

445433504 is an abundant number, since it is smaller than the sum of its proper divisors (464374696).

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

445433504 is a wasteful number, since it uses less digits than its factorization.

445433504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 445433504 is about 21105.2956387727. The cubic root of 445433504 is about 763.7085042408.

The spelling of 445433504 in words is "four hundred forty-five million, four hundred thirty-three thousand, five hundred four".