530546400 has 216 divisors, whose sum is σ = 1932001344. Its totient is φ = 136857600.

The previous prime is 530546389. The next prime is 530546453. The reversal of 530546400 is 4645035.

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, 222012 + ... + 224388.

Almost surely, 2^530546400 is an apocalyptic number.

530546400 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 530546400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966000672).

530546400 is an abundant number, since it is smaller than the sum of its proper divisors (1401454944).

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

530546400 is a wasteful number, since it uses less digits than its factorization.

530546400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 530546400 is about 23033.5928591264. The cubic root of 530546400 is about 809.5452408453.

The spelling of 530546400 in words is "five hundred thirty million, five hundred forty-six thousand, four hundred".