535834400 has 72 divisors (see below), whose sum is σ = 1317923460. Its totient is φ = 212725760.

The previous prime is 535834393. The next prime is 535834417. The reversal of 535834400 is 4438535.

It can be written as a sum of positive squares in 6 ways, for example, as 270405136 + 265429264 = 16444^2 + 16292^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107156 + ... + 112044.

Almost surely, 2^535834400 is an apocalyptic number.

535834400 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 535834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658961730).

535834400 is an abundant number, since it is smaller than the sum of its proper divisors (782089060).

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

535834400 is a wasteful number, since it uses less digits than its factorization.

535834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 535834400 is about 23148.0971140178. The cubic root of 535834400 is about 812.2259557055.

The spelling of 535834400 in words is "five hundred thirty-five million, eight hundred thirty-four thousand, four hundred".