530400 has 144 divisors (see below), whose sum is σ = 1968624. Its totient is φ = 122880.

The previous prime is 530393. The next prime is 530401. The reversal of 530400 is 4035.

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

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 530400.

It is not an unprimeable number, because it can be changed into a prime (530401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31192 + ... + 31208.

It is an arithmetic number, because the mean of its divisors is an integer number (13671).

2⁵³⁰⁴⁰⁰ is an apocalyptic number.

530400 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 530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984312).

530400 is an abundant number, since it is smaller than the sum of its proper divisors (1438224).

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

530400 is a wasteful number, since it uses less digits than its factorization.

530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 40 counting only the distinct ones).

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

The square root of 530400 is about 728.2856582413. The cubic root of 530400 is about 80.9470771502.

Adding to 530400 its reverse (4035), we get a palindrome (534435).

The spelling of 530400 in words is "five hundred thirty thousand, four hundred".