538408 has 32 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 239040.

The previous prime is 538399. The next prime is 538411. The reversal of 538408 is 804835.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

538408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3141 + ... + 3307.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁵³⁸⁴⁰⁸ 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 538408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

538408 is an abundant number, since it is smaller than the sum of its proper divisors (590552).

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

538408 is a wasteful number, since it uses less digits than its factorization.

538408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 538408 is about 733.7629044862. The cubic root of 538408 is about 81.3524246742.

It can be divided in two parts, 538 and 408, that added together give a triangular number (946 = T₄₃).

The spelling of 538408 in words is "five hundred thirty-eight thousand, four hundred eight".