445040640 has 288 divisors, whose sum is σ = 1686484800. Its totient is φ = 107642880.

The previous prime is 445040543. The next prime is 445040647. The reversal of 445040640 is 46040544.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×445040640² = 396122342503219200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445040647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1013541 + ... + 1013979.

It is an arithmetic number, because the mean of its divisors is an integer number (5855850).

Almost surely, 2^445040640 is an apocalyptic number.

445040640 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 445040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843242400).

445040640 is an abundant number, since it is smaller than the sum of its proper divisors (1241444160).

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

445040640 is a wasteful number, since it uses less digits than its factorization.

445040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 445040640 is about 21095.9863481184. The cubic root of 445040640 is about 763.4839126715.

The spelling of 445040640 in words is "four hundred forty-five million, forty thousand, six hundred forty".