532396800 has 540 divisors, whose sum is σ = 2146772320. Its totient is φ = 129392640.

The previous prime is 532396783. The next prime is 532396861. The reversal of 532396800 is 8693235.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6739161 + ... + 6739239.

Almost surely, 2^532396800 is an apocalyptic number.

532396800 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 532396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073386160).

532396800 is an abundant number, since it is smaller than the sum of its proper divisors (1614375520).

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

532396800 is a wasteful number, since it uses less digits than its factorization.

532396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 532396800 is about 23073.7253169054. The cubic root of 532396800 is about 810.4853058821.

The spelling of 532396800 in words is "five hundred thirty-two million, three hundred ninety-six thousand, eight hundred".