838416240 has 240 divisors, whose sum is σ = 2964506688. Its totient is φ = 211943424.

The previous prime is 838416239. The next prime is 838416317. The reversal of 838416240 is 42614838.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 838416195 and 838416204.

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 47 ways as a sum of consecutive naturals, for example, 3262192 + ... + 3262448.

Almost surely, 2^838416240 is an apocalyptic number.

838416240 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 838416240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482253344).

838416240 is an abundant number, since it is smaller than the sum of its proper divisors (2126090448).

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

838416240 is a wasteful number, since it uses less digits than its factorization.

838416240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 838416240 is about 28955.4181458324. The cubic root of 838416240 is about 942.9454313232.

The spelling of 838416240 in words is "eight hundred thirty-eight million, four hundred sixteen thousand, two hundred forty".