530140800 has 480 divisors, whose sum is σ = 2125622880. Its totient is φ = 115906560.

The previous prime is 530140789. The next prime is 530140811. The reversal of 530140800 is 8041035.

It is an interprime number because it is at equal distance from previous prime (530140789) and next prime (530140811).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23049589 + ... + 23049611.

It is an arithmetic number, because the mean of its divisors is an integer number (4428381).

Almost surely, 2^530140800 is an apocalyptic number.

530140800 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 530140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062811440).

530140800 is an abundant number, since it is smaller than the sum of its proper divisors (1595482080).

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

530140800 is an equidigital number, since it uses as much as digits as its factorization.

530140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 530140800 is about 23024.7866439626. The cubic root of 530140800 is about 809.3388905244.

Adding to 530140800 its reverse (8041035), we get a palindrome (538181835).

The spelling of 530140800 in words is "five hundred thirty million, one hundred forty thousand, eight hundred".