445256640 has 336 divisors, whose sum is σ = 1648358400. Its totient is φ = 109983744.

The previous prime is 445256543. The next prime is 445256653. The reversal of 445256640 is 46652544.

445256640 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 5 + 6 + 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 = 445256595 and 445256604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4322829 + ... + 4322931.

Almost surely, 2^445256640 is an apocalyptic number.

445256640 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 445256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824179200).

445256640 is an abundant number, since it is smaller than the sum of its proper divisors (1203101760).

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

445256640 is a wasteful number, since it uses less digits than its factorization.

445256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 445256640 is about 21101.1051843262. The cubic root of 445256640 is about 763.6074113946.

The spelling of 445256640 in words is "four hundred forty-five million, two hundred fifty-six thousand, six hundred forty".