535253200 has 60 divisors (see below), whose sum is σ = 1293225388. Its totient is φ = 212889600.

The previous prime is 535253189. The next prime is 535253219. The reversal of 535253200 is 2352535.

It can be written as a sum of positive squares in 6 ways, for example, as 205176976 + 330076224 = 14324^2 + 18168^2 .

It is a super-2 number, since 2×535253200² = 572991976220480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 68704 + ... + 76096.

Almost surely, 2^535253200 is an apocalyptic number.

535253200 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 535253200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646612694).

535253200 is an abundant number, since it is smaller than the sum of its proper divisors (757972188).

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

535253200 is a wasteful number, since it uses less digits than its factorization.

535253200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7592 (or 7581 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 535253200 is about 23135.5397602909. The cubic root of 535253200 is about 811.9321855246.

The spelling of 535253200 in words is "five hundred thirty-five million, two hundred fifty-three thousand, two hundred".