838333440 has 528 divisors, whose sum is σ = 3494769408. Its totient is φ = 181665792.

The previous prime is 838333411. The next prime is 838333471. The reversal of 838333440 is 44333838.

838333440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 838333395 and 838333404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7418824 + ... + 7418936.

Almost surely, 2^838333440 is an apocalyptic number.

838333440 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 838333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747384704).

838333440 is an abundant number, since it is smaller than the sum of its proper divisors (2656435968).

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

838333440 is a wasteful number, since it uses less digits than its factorization.

838333440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 838333440 is about 28953.9883263083. The cubic root of 838333440 is about 942.9143892829.

The spelling of 838333440 in words is "eight hundred thirty-eight million, three hundred thirty-three thousand, four hundred forty".