838449936 has 135 divisors (see below), whose sum is σ = 2496148551. Its totient is φ = 262688832.

The previous prime is 838449923. The next prime is 838449949. The reversal of 838449936 is 639944838.

It is a happy number.

The square root of 838449936 is 28956.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (838449923) and next prime (838449949).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6601905 + ... + 6602031.

Almost surely, 2^838449936 is an apocalyptic number.

838449936 is the 28956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838449936

838449936 is an abundant number, since it is smaller than the sum of its proper divisors (1657698615).

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

838449936 is a wasteful number, since it uses less digits than its factorization.

838449936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 151 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The cubic root of 838449936 is about 942.9580634988.

The spelling of 838449936 in words is "eight hundred thirty-eight million, four hundred forty-nine thousand, nine hundred thirty-six".