532870800400 has 405 divisors, whose sum is σ = 1448117312421. Its totient is φ = 188369879040.

The previous prime is 532870800389. The next prime is 532870800409. The reversal of 532870800400 is 4008078235.

The square root of 532870800400 is 729980.

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

It can be written as a sum of positive squares in 13 ways, for example, as 490263235344 + 42607565056 = 700188^2 + 206416^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 532870800400.

It is not an unprimeable number, because it can be changed into a prime (532870800409) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4715670744 + ... + 4715670856.

Almost surely, 2^532870800400 is an apocalyptic number.

532870800400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

532870800400 is the 729980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532870800400

532870800400 is an abundant number, since it is smaller than the sum of its proper divisors (915246512021).

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

532870800400 is a wasteful number, since it uses less digits than its factorization.

532870800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

Adding to 532870800400 its reverse (4008078235), we get a palindrome (536878878635).

The spelling of 532870800400 in words is "five hundred thirty-two billion, eight hundred seventy million, eight hundred thousand, four hundred".