532686400 has 63 divisors (see below), whose sum is σ = 1313017059. Its totient is φ = 212705280.

The previous prime is 532686383. The next prime is 532686421. The reversal of 532686400 is 4686235.

It is a happy number.

The square root of 532686400 is 23080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 150405696 + 382280704 = 12264^2 + 19552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 922912 + ... + 923488.

Almost surely, 2^532686400 is an apocalyptic number.

532686400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

532686400 is the 23080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532686400

532686400 is an abundant number, since it is smaller than the sum of its proper divisors (780330659).

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

532686400 is an frugal number, since it uses more digits than its factorization.

532686400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The cubic root of 532686400 is about 810.6322351393.

The spelling of 532686400 in words is "five hundred thirty-two million, six hundred eighty-six thousand, four hundred".