446770032 has 80 divisors (see below), whose sum is σ = 1218136320. Its totient is φ = 140816896.

The previous prime is 446770031. The next prime is 446770061. The reversal of 446770032 is 230077644.

It is a super-2 number, since 2×446770032² = 399206922986562048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 446769975 and 446770002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446770031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95983 + ... + 100529.

It is an arithmetic number, because the mean of its divisors is an integer number (15226704).

Almost surely, 2^446770032 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 446770032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609068160).

446770032 is an abundant number, since it is smaller than the sum of its proper divisors (771366288).

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

446770032 is a wasteful number, since it uses less digits than its factorization.

446770032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 446770032 is about 21136.9352556136. The cubic root of 446770032 is about 764.4715800590.

The spelling of 446770032 in words is "four hundred forty-six million, seven hundred seventy thousand, thirty-two".