938631408 has 240 divisors, whose sum is σ = 2925634176. Its totient is φ = 256988160.

The previous prime is 938631401. The next prime is 938631439. The reversal of 938631408 is 804136839.

It is a happy number.

It is a super-5 number, since 5×938631408⁵ (a number of 46 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 938631408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938631401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5978466 + ... + 5978622.

Almost surely, 2^938631408 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 938631408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462817088).

938631408 is an abundant number, since it is smaller than the sum of its proper divisors (1987002768).

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

938631408 is a wasteful number, since it uses less digits than its factorization.

938631408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 938631408 is about 30637.0920291075. The cubic root of 938631408 is about 979.1104686873.

The spelling of 938631408 in words is "nine hundred thirty-eight million, six hundred thirty-one thousand, four hundred eight".