445424640 has 176 divisors, whose sum is σ = 1457332992. Its totient is φ = 116064256.

The previous prime is 445424627. The next prime is 445424699. The reversal of 445424640 is 46424544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721612 + ... + 722228.

Almost surely, 2^445424640 is an apocalyptic number.

445424640 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 445424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728666496).

445424640 is an abundant number, since it is smaller than the sum of its proper divisors (1011908352).

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

445424640 is a wasteful number, since it uses less digits than its factorization.

445424640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The square root of 445424640 is about 21105.0856430387. The cubic root of 445424640 is about 763.7034383466.

The spelling of 445424640 in words is "four hundred forty-five million, four hundred twenty-four thousand, six hundred forty".