532413200 has 120 divisors (see below), whose sum is σ = 1456353216. Its totient is φ = 185152000.

The previous prime is 532413197. The next prime is 532413221. The reversal of 532413200 is 2314235.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98570 + ... + 103830.

Almost surely, 2^532413200 is an apocalyptic number.

532413200 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 532413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728176608).

532413200 is an abundant number, since it is smaller than the sum of its proper divisors (923940016).

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

532413200 is a wasteful number, since it uses less digits than its factorization.

532413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 532413200 is about 23074.0806967472. The cubic root of 532413200 is about 810.4936278846.

Adding to 532413200 its reverse (2314235), we get a palindrome (534727435).

The spelling of 532413200 in words is "five hundred thirty-two million, four hundred thirteen thousand, two hundred".