838416 has 20 divisors (see below), whose sum is σ = 2166032. Its totient is φ = 279456.

The previous prime is 838403. The next prime is 838421. The reversal of 838416 is 614838.

It is a happy number.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8686 + ... + 8781.

2⁸³⁸⁴¹⁶ is an apocalyptic number.

It is an amenable number.

838416 is an abundant number, since it is smaller than the sum of its proper divisors (1327616).

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

838416 is a wasteful number, since it uses less digits than its factorization.

838416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17478 (or 17472 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 838416 is about 915.6505883797. The cubic root of 838416 is about 94.2945341349.

The spelling of 838416 in words is "eight hundred thirty-eight thousand, four hundred sixteen".