445950414 has 128 divisors (see below), whose sum is σ = 1229813760. Its totient is φ = 116640000.

The previous prime is 445950413. The next prime is 445950457. The reversal of 445950414 is 414059544.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445950413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 741714 + ... + 742314.

It is an arithmetic number, because the mean of its divisors is an integer number (9607920).

Almost surely, 2^445950414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445950414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614906880).

445950414 is an abundant number, since it is smaller than the sum of its proper divisors (783863346).

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

445950414 is a wasteful number, since it uses less digits than its factorization.

445950414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 445950414 is about 21117.5380667350. The cubic root of 445950414 is about 764.0038090414.

The spelling of 445950414 in words is "four hundred forty-five million, nine hundred fifty thousand, four hundred fourteen".