53408 has 12 divisors (see below), whose sum is σ = 105210. Its totient is φ = 26688.

The previous prime is 53407. The next prime is 53411. The reversal of 53408 is 80435.

It can be written as a sum of positive squares in only one way, i.e., 44944 + 8464 = 212^2 + 92^2 .

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 53408.

It is not an unprimeable number, because it can be changed into a prime (53401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 803 + ... + 866.

2⁵³⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

53408 is a deficient number, since it is larger than the sum of its proper divisors (51802).

53408 is a wasteful number, since it uses less digits than its factorization.

53408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 53408 is about 231.1017092105. The cubic root of 53408 is about 37.6589989700.

The spelling of 53408 in words is "fifty-three thousand, four hundred eight".