938974464 has 288 divisors, whose sum is σ = 3011057280. Its totient is φ = 287539200.

The previous prime is 938974459. The next prime is 938974489. The reversal of 938974464 is 464479839.

It is a happy number.

938974464 is a `hidden beast` number, since 93 + 8 + 97 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 938974464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7167679 + ... + 7167809.

It is an arithmetic number, because the mean of its divisors is an integer number (10455060).

Almost surely, 2^938974464 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 938974464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505528640).

938974464 is an abundant number, since it is smaller than the sum of its proper divisors (2072082816).

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

938974464 is a wasteful number, since it uses less digits than its factorization.

938974464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 938974464 is about 30642.6902213236. The cubic root of 938974464 is about 979.2297376590.

The spelling of 938974464 in words is "nine hundred thirty-eight million, nine hundred seventy-four thousand, four hundred sixty-four".