445976640 has 168 divisors, whose sum is σ = 1624385880. Its totient is φ = 111919104.

The previous prime is 445976617. The next prime is 445976653. The reversal of 445976640 is 46679544.

It can be written as a sum of positive squares in 4 ways, for example, as 26873856 + 419102784 = 5184^2 + 20472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44406 + ... + 53514.

Almost surely, 2^445976640 is an apocalyptic number.

445976640 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 445976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812192940).

445976640 is an abundant number, since it is smaller than the sum of its proper divisors (1178409240).

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

445976640 is a wasteful number, since it uses less digits than its factorization.

445976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149 (or 9136 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 445976640 is about 21118.1590106714. The cubic root of 445976640 is about 764.0187855728.

The spelling of 445976640 in words is "four hundred forty-five million, nine hundred seventy-six thousand, six hundred forty".