238696416 has 192 divisors, whose sum is σ = 809948160. Its totient is φ = 66977280.

The previous prime is 238696399. The next prime is 238696441. The reversal of 238696416 is 614696832.

It is a super-2 number, since 2×238696416² = 113951958022490112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368605 + ... + 369251.

It is an arithmetic number, because the mean of its divisors is an integer number (4218480).

Almost surely, 2^238696416 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 238696416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404974080).

238696416 is an abundant number, since it is smaller than the sum of its proper divisors (571251744).

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

238696416 is a wasteful number, since it uses less digits than its factorization.

238696416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 720 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 238696416 is about 15449.8031055415. The cubic root of 238696416 is about 620.3193082951.

The spelling of 238696416 in words is "two hundred thirty-eight million, six hundred ninety-six thousand, four hundred sixteen".