53400 has 48 divisors (see below), whose sum is σ = 167400. Its totient is φ = 14080.

The previous prime is 53381. The next prime is 53401. The reversal of 53400 is 435.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556 + ... + 644.

2⁵³⁴⁰⁰ is an apocalyptic number.

53400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83700).

53400 is an abundant number, since it is smaller than the sum of its proper divisors (114000).

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

53400 is a wasteful number, since it uses less digits than its factorization.

53400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 53400 is about 231.0844001658. The cubic root of 53400 is about 37.6571185586.

Adding to 53400 its reverse (435), we get a palindrome (53835).

The spelling of 53400 in words is "fifty-three thousand, four hundred".