446920038 has 128 divisors (see below), whose sum is σ = 1118499840. Its totient is φ = 131535360.

The previous prime is 446920013. The next prime is 446920091. The reversal of 446920038 is 830029644.

It is a happy number.

446920038 is a `hidden beast` number, since 446 + 9 + 200 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 446919984 and 446920011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1287781 + ... + 1288127.

It is an arithmetic number, because the mean of its divisors is an integer number (8738280).

Almost surely, 2^446920038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446920038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559249920).

446920038 is an abundant number, since it is smaller than the sum of its proper divisors (671579802).

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

446920038 is a wasteful number, since it uses less digits than its factorization.

446920038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 446920038 is about 21140.4833908783. The cubic root of 446920038 is about 764.5571292855.

The spelling of 446920038 in words is "four hundred forty-six million, nine hundred twenty thousand, thirty-eight".