938461440 has 144 divisors (see below), whose sum is σ = 3425482368. Its totient is φ = 214499328.

The previous prime is 938461439. The next prime is 938461441. The reversal of 938461440 is 44164839.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (938461439) and next prime (938461441).

It is not an unprimeable number, because it can be changed into a prime (938461441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9424 + ... + 44336.

It is an arithmetic number, because the mean of its divisors is an integer number (23788072).

Almost surely, 2^938461440 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 938461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712741184).

938461440 is an abundant number, since it is smaller than the sum of its proper divisors (2487020928).

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

938461440 is a wasteful number, since it uses less digits than its factorization.

938461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34944 (or 34930 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 938461440 is about 30634.3180110150. The cubic root of 938461440 is about 979.0513657946.

The spelling of 938461440 in words is "nine hundred thirty-eight million, four hundred sixty-one thousand, four hundred forty".