445211640 has 320 divisors, whose sum is σ = 1623045600. Its totient is φ = 109043712.

The previous prime is 445211609. The next prime is 445211647. The reversal of 445211640 is 46112544.

445211640 is a `hidden beast` number, since 4 + 4 + 5 + 2 + 11 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445211647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3249652 + ... + 3249788.

Almost surely, 2^445211640 is an apocalyptic number.

445211640 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 445211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811522800).

445211640 is an abundant number, since it is smaller than the sum of its proper divisors (1177833960).

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

445211640 is a wasteful number, since it uses less digits than its factorization.

445211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 445211640 is about 21100.0388625235. The cubic root of 445211640 is about 763.5816857882.

The spelling of 445211640 in words is "four hundred forty-five million, two hundred eleven thousand, six hundred forty".