535413300 has 144 divisors (see below), whose sum is σ = 1650519360. Its totient is φ = 133539840.

The previous prime is 535413299. The next prime is 535413337. The reversal of 535413300 is 3314535.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1412511 + ... + 1412889.

It is an arithmetic number, because the mean of its divisors is an integer number (11461940).

Almost surely, 2^535413300 is an apocalyptic number.

535413300 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 535413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825259680).

535413300 is an abundant number, since it is smaller than the sum of its proper divisors (1115106060).

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

535413300 is a wasteful number, since it uses less digits than its factorization.

535413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 535413300 is about 23138.9995462207. Note that the first 3 decimals coincide. The cubic root of 535413300 is about 812.0131300100.

Adding to 535413300 its reverse (3314535), we get a palindrome (538727835).

The spelling of 535413300 in words is "five hundred thirty-five million, four hundred thirteen thousand, three hundred".