535896900 has 648 divisors, whose sum is σ = 2281173440. Its totient is φ = 102643200.

The previous prime is 535896859. The next prime is 535896901. The reversal of 535896900 is 9698535.

535896900 is a `hidden beast` number, since 5 + 3 + 589 + 69 + 0 + 0 = 666.

It is a super-2 number, since 2×535896900² = 574370974859220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535896901) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14483682 + ... + 14483718.

Almost surely, 2^535896900 is an apocalyptic number.

535896900 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 535896900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140586720).

535896900 is an abundant number, since it is smaller than the sum of its proper divisors (1745276540).

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

535896900 is a wasteful number, since it uses less digits than its factorization.

535896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 535896900 is about 23149.4470776302. The cubic root of 535896900 is about 812.2575339622.

The spelling of 535896900 in words is "five hundred thirty-five million, eight hundred ninety-six thousand, nine hundred".