53430 has 32 divisors (see below), whose sum is σ = 139104. Its totient is φ = 13056.

The previous prime is 53419. The next prime is 53437. The reversal of 53430 is 3435.

53430 = 58² + 59² + ... + 70².

53430 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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 53430.

It is not an unprimeable number, because it can be changed into a prime (53437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322 + ... + 458.

It is an arithmetic number, because the mean of its divisors is an integer number (4347).

2⁵³⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69552).

53430 is an abundant number, since it is smaller than the sum of its proper divisors (85674).

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

53430 is a wasteful number, since it uses less digits than its factorization.

53430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160.

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 53430 is about 231.1493024000. The cubic root of 53430 is about 37.6641691333.

Adding to 53430 its reverse (3435), we get a palindrome (56865).

The spelling of 53430 in words is "fifty-three thousand, four hundred thirty".