838499040 has 480 divisors, whose sum is σ = 3227273280. Its totient is φ = 204374016.

The previous prime is 838499023. The next prime is 838499059. The reversal of 838499040 is 40994838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 8644272 + ... + 8644368.

It is an arithmetic number, because the mean of its divisors is an integer number (6723486).

Almost surely, 2^838499040 is an apocalyptic number.

838499040 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 838499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613636640).

838499040 is an abundant number, since it is smaller than the sum of its proper divisors (2388774240).

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

838499040 is a wasteful number, since it uses less digits than its factorization.

838499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 838499040 is about 28956.8478947554. The cubic root of 838499040 is about 942.9764713198.

The spelling of 838499040 in words is "eight hundred thirty-eight million, four hundred ninety-nine thousand, forty".