445944240 has 240 divisors, whose sum is σ = 1786457088. Its totient is φ = 97473024.

The previous prime is 445944203. The next prime is 445944241. The reversal of 445944240 is 42449544.

It is a happy number.

445944240 is a `hidden beast` number, since 44 + 594 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 445944195 and 445944204.

It is not an unprimeable number, because it can be changed into a prime (445944241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113997 + ... + 117843.

Almost surely, 2^445944240 is an apocalyptic number.

445944240 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 445944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893228544).

445944240 is an abundant number, since it is smaller than the sum of its proper divisors (1340512848).

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

445944240 is a wasteful number, since it uses less digits than its factorization.

445944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3887 counting only the distinct ones).

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

The square root of 445944240 is about 21117.3918844160. The cubic root of 445944240 is about 764.0002832524. Note that the first 3 decimals are identical.

The spelling of 445944240 in words is "four hundred forty-five million, nine hundred forty-four thousand, two hundred forty".