445950624 has 96 divisors (see below), whose sum is σ = 1381072896. Its totient is φ = 123298560.

The previous prime is 445950623. The next prime is 445950643. The reversal of 445950624 is 426059544.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (445950623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10129 + ... + 31535.

It is an arithmetic number, because the mean of its divisors is an integer number (14386176).

Almost surely, 2^445950624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445950624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690536448).

445950624 is an abundant number, since it is smaller than the sum of its proper divisors (935122272).

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

445950624 is a wasteful number, since it uses less digits than its factorization.

445950624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21458 (or 21450 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 445950624 is about 21117.5430389049. The cubic root of 445950624 is about 764.0039289657.

The spelling of 445950624 in words is "four hundred forty-five million, nine hundred fifty thousand, six hundred twenty-four".