446446416 has 80 divisors (see below), whose sum is σ = 1284917760. Its totient is φ = 132625920.

The previous prime is 446446397. The next prime is 446446433. The reversal of 446446416 is 614644644.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5761 + ... + 30431.

It is an arithmetic number, because the mean of its divisors is an integer number (16061472).

Almost surely, 2^446446416 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 446446416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642458880).

446446416 is an abundant number, since it is smaller than the sum of its proper divisors (838471344).

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

446446416 is a wasteful number, since it uses less digits than its factorization.

446446416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24724 (or 24718 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

The square root of 446446416 is about 21129.2786436262. The cubic root of 446446416 is about 764.2869548795.

The spelling of 446446416 in words is "four hundred forty-six million, four hundred forty-six thousand, four hundred sixteen".