438955146 has 64 divisors (see below), whose sum is σ = 1133141760. Its totient is φ = 123353280.

The previous prime is 438955141. The next prime is 438955159. The reversal of 438955146 is 641559834.

438955146 is a `hidden beast` number, since 43 + 8 + 95 + 514 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (438955141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13540 + ... + 32576.

It is an arithmetic number, because the mean of its divisors is an integer number (17705340).

Almost surely, 2^438955146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 438955146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566570880).

438955146 is an abundant number, since it is smaller than the sum of its proper divisors (694186614).

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

438955146 is a wasteful number, since it uses less digits than its factorization.

438955146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19116 (or 19110 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 438955146 is about 20951.2564301046. The cubic root of 438955146 is about 759.9879649525.

The spelling of 438955146 in words is "four hundred thirty-eight million, nine hundred fifty-five thousand, one hundred forty-six".