530415600 has 360 divisors, whose sum is σ = 2018422896. Its totient is φ = 118272000.

The previous prime is 530415593. The next prime is 530415607. The reversal of 530415600 is 6514035.

It is an interprime number because it is at equal distance from previous prime (530415593) and next prime (530415607).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (530415607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1887460 + ... + 1887740.

Almost surely, 2^530415600 is an apocalyptic number.

530415600 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 530415600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009211448).

530415600 is an abundant number, since it is smaller than the sum of its proper divisors (1488007296).

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

530415600 is a wasteful number, since it uses less digits than its factorization.

530415600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 530415600 is about 23030.7533528541. The cubic root of 530415600 is about 809.4787074120.

Adding to 530415600 its reverse (6514035), we get a palindrome (536929635).

The spelling of 530415600 in words is "five hundred thirty million, four hundred fifteen thousand, six hundred".