445041600 has 84 divisors (see below), whose sum is σ = 1460123064. Its totient is φ = 118676480.

The previous prime is 445041599. The next prime is 445041607. The reversal of 445041600 is 6140544.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445041607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41559 + ... + 51158.

Almost surely, 2^445041600 is an apocalyptic number.

445041600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

445041600 is an abundant number, since it is smaller than the sum of its proper divisors (1015081464).

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

445041600 is a wasteful number, since it uses less digits than its factorization.

445041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92742 (or 92727 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 445041600 is about 21096.0091012495. The cubic root of 445041600 is about 763.4844616431.

The spelling of 445041600 in words is "four hundred forty-five million, forty-one thousand, six hundred".