839628480 has 112 divisors (see below), whose sum is σ = 2702564064. Its totient is φ = 220815360.

The previous prime is 839628473. The next prime is 839628481. The reversal of 839628480 is 84826938.

It is a happy number.

It is a super-2 number, since 2×839628480² = 1409951968854220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (839628481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64090 + ... + 76070.

Almost surely, 2^839628480 is an apocalyptic number.

839628480 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 839628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351282032).

839628480 is an abundant number, since it is smaller than the sum of its proper divisors (1862935584).

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

839628480 is a wasteful number, since it uses less digits than its factorization.

839628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 839628480 is about 28976.3434546183. The cubic root of 839628480 is about 943.3996709735.

The spelling of 839628480 in words is "eight hundred thirty-nine million, six hundred twenty-eight thousand, four hundred eighty".