838464 has 56 divisors (see below), whose sum is σ = 2426208. Its totient is φ = 253440.

The previous prime is 838463. The next prime is 838471. The reversal of 838464 is 464838.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 838464.

It is not an unprimeable number, because it can be changed into a prime (838463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1914 + ... + 2310.

2⁸³⁸⁴⁶⁴ 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 838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213104).

838464 is an abundant number, since it is smaller than the sum of its proper divisors (1587744).

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

838464 is a wasteful number, since it uses less digits than its factorization.

838464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 838464 is about 915.6767988761. The cubic root of 838464 is about 94.2963335803.

It can be divided in two parts, 8384 and 64, that added together give a palindrome (8448).

The spelling of 838464 in words is "eight hundred thirty-eight thousand, four hundred sixty-four".