838516448 has 72 divisors (see below), whose sum is σ = 2073836016. Its totient is φ = 326684160.

The previous prime is 838516421. The next prime is 838516487. The reversal of 838516448 is 844615838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11636 + ... + 42572.

It is an arithmetic number, because the mean of its divisors is an integer number (28803278).

Almost surely, 2^838516448 is an apocalyptic number.

838516448 is a gapful number since it is divisible by the number (88) 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 838516448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036918008).

838516448 is an abundant number, since it is smaller than the sum of its proper divisors (1235319568).

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

838516448 is a wasteful number, since it uses less digits than its factorization.

838516448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30976 (or 30957 counting only the distinct ones).

The product of its digits is 737280, while the sum is 47.

The square root of 838516448 is about 28957.1484783982. The cubic root of 838516448 is about 942.9829969567.

The spelling of 838516448 in words is "eight hundred thirty-eight million, five hundred sixteen thousand, four hundred forty-eight".