535356360 has 576 divisors, whose sum is σ = 2304806400. Its totient is φ = 106444800.

The previous prime is 535356343. The next prime is 535356361. The reversal of 535356360 is 63653535.

535356360 is a `hidden beast` number, since 5 + 3 + 535 + 63 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (535356361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6015196 + ... + 6015284.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2^535356360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535356360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152403200).

535356360 is an abundant number, since it is smaller than the sum of its proper divisors (1769450040).

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

535356360 is a wasteful number, since it uses less digits than its factorization.

535356360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

The square root of 535356360 is about 23137.7691232323. The cubic root of 535356360 is about 811.9843437330.

It can be divided in two parts, 53535 and 6360, that added together give a palindrome (59895).

The spelling of 535356360 in words is "five hundred thirty-five million, three hundred fifty-six thousand, three hundred sixty".