445832640 has 224 divisors, whose sum is σ = 1716145920. Its totient is φ = 108057600.

The previous prime is 445832627. The next prime is 445832683. The reversal of 445832640 is 46238544.

445832640 is a `hidden beast` number, since 4 + 4 + 5 + 8 + 3 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 445832595 and 445832604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92695 + ... + 97385.

Almost surely, 2^445832640 is an apocalyptic number.

445832640 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 445832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858072960).

445832640 is an abundant number, since it is smaller than the sum of its proper divisors (1270313280).

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

445832640 is a wasteful number, since it uses less digits than its factorization.

445832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4728 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 445832640 is about 21114.7493473164. The cubic root of 445832640 is about 763.9365461769.

The spelling of 445832640 in words is "four hundred forty-five million, eight hundred thirty-two thousand, six hundred forty".