838486512 has 320 divisors, whose sum is σ = 2742681600. Its totient is φ = 243855360.

The previous prime is 838486463. The next prime is 838486559. The reversal of 838486512 is 215684838.

It is a super-2 number, since 2×838486512² = 1406119261611852288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6602193 + ... + 6602319.

It is an arithmetic number, because the mean of its divisors is an integer number (8570880).

Almost surely, 2^838486512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838486512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371340800).

838486512 is an abundant number, since it is smaller than the sum of its proper divisors (1904195088).

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

838486512 is a wasteful number, since it uses less digits than its factorization.

838486512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 838486512 is about 28956.6315720596. The cubic root of 838486512 is about 942.9717749645.

The spelling of 838486512 in words is "eight hundred thirty-eight million, four hundred eighty-six thousand, five hundred twelve".