530467200 has 288 divisors, whose sum is σ = 1921294440. Its totient is φ = 139345920.

The previous prime is 530467183. The next prime is 530467237. The reversal of 530467200 is 2764035.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3254319 + ... + 3254481.

Almost surely, 2^530467200 is an apocalyptic number.

530467200 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 530467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960647220).

530467200 is an abundant number, since it is smaller than the sum of its proper divisors (1390827240).

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

530467200 is a wasteful number, since it uses less digits than its factorization.

530467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 530467200 is about 23031.8735668638. The cubic root of 530467200 is about 809.5049558524.

The spelling of 530467200 in words is "five hundred thirty million, four hundred sixty-seven thousand, two hundred".