446980032 has 168 divisors, whose sum is σ = 1362986352. Its totient is φ = 145152000.

The previous prime is 446980013. The next prime is 446980057. The reversal of 446980032 is 230089644.

It is a happy number.

It is a super-2 number, since 2×446980032² = 399582298013442048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 637282 + ... + 637982.

It is an arithmetic number, because the mean of its divisors is an integer number (8113014).

Almost surely, 2^446980032 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 446980032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681493176).

446980032 is an abundant number, since it is smaller than the sum of its proper divisors (916006320).

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

446980032 is an equidigital number, since it uses as much as digits as its factorization.

446980032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 747 counting only the distinct ones).

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

The square root of 446980032 is about 21141.9022795963. The cubic root of 446980032 is about 764.5913388265.

The spelling of 446980032 in words is "four hundred forty-six million, nine hundred eighty thousand, thirty-two".