534535200 has 360 divisors, whose sum is σ = 1993536468. Its totient is φ = 139345920.

The previous prime is 534535187. The next prime is 534535207. The reversal of 534535200 is 2535435.

534535200 is a `hidden beast` number, since 5 + 3 + 453 + 5 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 63297936 + 471237264 = 7956^2 + 21708^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (534535207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4730344 + ... + 4730456.

Almost surely, 2^534535200 is an apocalyptic number.

534535200 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 534535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996768234).

534535200 is an abundant number, since it is smaller than the sum of its proper divisors (1459001268).

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

534535200 is a wasteful number, since it uses less digits than its factorization.

534535200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 534535200 is about 23120.0173010316. The cubic root of 534535200 is about 811.5689753829.

It can be divided in two parts, 53453 and 5200, that added together give a triangular number (58653 = T₃₄₂).

The spelling of 534535200 in words is "five hundred thirty-four million, five hundred thirty-five thousand, two hundred".