530947200 has 192 divisors, whose sum is σ = 1998889920. Its totient is φ = 121344000.

The previous prime is 530947139. The next prime is 530947231. The reversal of 530947200 is 2749035.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63250 + ... + 71150.

It is an arithmetic number, because the mean of its divisors is an integer number (10410885).

Almost surely, 2^530947200 is an apocalyptic number.

530947200 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 530947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999444960).

530947200 is an abundant number, since it is smaller than the sum of its proper divisors (1467942720).

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

530947200 is a wasteful number, since it uses less digits than its factorization.

530947200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7935 (or 7918 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 530947200 is about 23042.2915527080. The cubic root of 530947200 is about 809.7490458666.

The spelling of 530947200 in words is "five hundred thirty million, nine hundred forty-seven thousand, two hundred".