446351152 has 80 divisors (see below), whose sum is σ = 957494272. Its totient is φ = 200309760.

The previous prime is 446351149. The next prime is 446351153. The reversal of 446351152 is 251153644.

It is a happy number.

Its product of digits (14400) is a multiple of the sum of its prime divisors (480).

It is not an unprimeable number, because it can be changed into a prime (446351153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1611238 + ... + 1611514.

Almost surely, 2^446351152 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 446351152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478747136).

446351152 is an abundant number, since it is smaller than the sum of its proper divisors (511143120).

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

446351152 is a wasteful number, since it uses less digits than its factorization.

446351152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 480 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 446351152 is about 21127.0242107117. The cubic root of 446351152 is about 764.2325891077.

The spelling of 446351152 in words is "four hundred forty-six million, three hundred fifty-one thousand, one hundred fifty-two".