446020416 has 168 divisors, whose sum is σ = 1349434944. Its totient is φ = 140574720.

The previous prime is 446020403. The next prime is 446020441. The reversal of 446020416 is 614020644.

446020416 is a `hidden beast` number, since 44 + 602 + 0 + 4 + 16 = 666.

It is a super-2 number, since 2×446020416² = 397868422977626112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 446020416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735360 + ... + 1735616.

Almost surely, 2^446020416 is an apocalyptic number.

446020416 is a gapful number since it is divisible by the number (46) 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 446020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674717472).

446020416 is an abundant number, since it is smaller than the sum of its proper divisors (903414528).

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

446020416 is a wasteful number, since it uses less digits than its factorization.

446020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 446020416 is about 21119.1954392207. The cubic root of 446020416 is about 764.0437828403.

The spelling of 446020416 in words is "four hundred forty-six million, twenty thousand, four hundred sixteen".