238958416 has 30 divisors (see below), whose sum is σ = 478429386. Its totient is φ = 115617600.

The previous prime is 238958399. The next prime is 238958417. The reversal of 238958416 is 614859832.

It can be written as a sum of positive squares in only one way, i.e., 225120016 + 13838400 = 15004^2 + 3720^2 .

It is a super-2 number, since 2×238958416² = 114202249154458112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238958417) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7606 + ... + 23146.

Almost surely, 2^238958416 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 238958416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239214693).

238958416 is an abundant number, since it is smaller than the sum of its proper divisors (239470970).

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

238958416 is a wasteful number, since it uses less digits than its factorization.

238958416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15611 (or 15574 counting only the distinct ones).

The product of its digits is 414720, while the sum is 46.

The square root of 238958416 is about 15458.2798525580. The cubic root of 238958416 is about 620.5461853666.

The spelling of 238958416 in words is "two hundred thirty-eight million, nine hundred fifty-eight thousand, four hundred sixteen".