838745424 has 360 divisors, whose sum is σ = 2881288800. Its totient is φ = 224985600.

The previous prime is 838745423. The next prime is 838745431. The reversal of 838745424 is 424547838.

It is a happy number.

838745424 is a `hidden beast` number, since 8 + 38 + 74 + 542 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 838745424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838745423) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 27056289 + ... + 27056319.

It is an arithmetic number, because the mean of its divisors is an integer number (8003580).

Almost surely, 2^838745424 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 838745424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440644400).

838745424 is an abundant number, since it is smaller than the sum of its proper divisors (2042543376).

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

838745424 is a wasteful number, since it uses less digits than its factorization.

838745424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The square root of 838745424 is about 28961.1019127381. The cubic root of 838745424 is about 943.0688234678.

It can be divided in two parts, 83874 and 5424, that added together give a palindrome (89298).

The spelling of 838745424 in words is "eight hundred thirty-eight million, seven hundred forty-five thousand, four hundred twenty-four".