838433120 has 144 divisors (see below), whose sum is σ = 2319211440. Its totient is φ = 285594624.

The previous prime is 838433119. The next prime is 838433131. The reversal of 838433120 is 21334838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1795127 + ... + 1795593.

It is an arithmetic number, because the mean of its divisors is an integer number (16105635).

Almost surely, 2^838433120 is an apocalyptic number.

838433120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838433120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159605720).

838433120 is an abundant number, since it is smaller than the sum of its proper divisors (1480778320).

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

838433120 is a wasteful number, since it uses less digits than its factorization.

838433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 838433120 is about 28955.7096269458. The cubic root of 838433120 is about 942.9517594497.

Adding to 838433120 its reverse (21334838), we get a palindrome (859767958).

The spelling of 838433120 in words is "eight hundred thirty-eight million, four hundred thirty-three thousand, one hundred twenty".