532362400 has 72 divisors (see below), whose sum is σ = 1314408060. Its totient is φ = 210524160.

The previous prime is 532362379. The next prime is 532362407. The reversal of 532362400 is 4263235.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 255872016 + 276490384 = 15996^2 + 16628^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (532362407) 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, 67462 + ... + 74938.

Almost surely, 2^532362400 is an apocalyptic number.

532362400 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 532362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657204030).

532362400 is an abundant number, since it is smaller than the sum of its proper divisors (782045660).

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

532362400 is a wasteful number, since it uses less digits than its factorization.

532362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 532362400 is about 23072.9798682355. The cubic root of 532362400 is about 810.4678494192.

The spelling of 532362400 in words is "five hundred thirty-two million, three hundred sixty-two thousand, four hundred".