535668400 has 60 divisors (see below), whose sum is σ = 1314371232. Its totient is φ = 209701120.

The previous prime is 535668383. The next prime is 535668407. The reversal of 535668400 is 4866535.

It is a self number, because there is not a number n which added to its sum of digits gives 535668400.

It is not an unprimeable number, because it can be changed into a prime (535668407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4554 + ... + 33046.

Almost surely, 2^535668400 is an apocalyptic number.

535668400 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 535668400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657185616).

535668400 is an abundant number, since it is smaller than the sum of its proper divisors (778702832).

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

535668400 is a wasteful number, since it uses less digits than its factorization.

535668400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28558 (or 28547 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 535668400 is about 23144.5112283669. The cubic root of 535668400 is about 812.1420719320.

The spelling of 535668400 in words is "five hundred thirty-five million, six hundred sixty-eight thousand, four hundred".