532064200 has 48 divisors (see below), whose sum is σ = 1246014000. Its totient is φ = 211283520.

The previous prime is 532064177. The next prime is 532064209. The reversal of 532064200 is 2460235.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (532064209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18231 + ... + 37369.

It is an arithmetic number, because the mean of its divisors is an integer number (25958625).

Almost surely, 2^532064200 is an apocalyptic number.

532064200 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 532064200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623007000).

532064200 is an abundant number, since it is smaller than the sum of its proper divisors (713949800).

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

532064200 is a wasteful number, since it uses less digits than its factorization.

532064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19294 (or 19285 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 532064200 is about 23066.5168588584. The cubic root of 532064200 is about 810.3164947202.

The spelling of 532064200 in words is "five hundred thirty-two million, sixty-four thousand, two hundred".