535656240 has 400 divisors, whose sum is σ = 2178580800. Its totient is φ = 121927680.

The previous prime is 535656217. The next prime is 535656241. The reversal of 535656240 is 42656535.

It is a happy number.

535656240 is a `hidden beast` number, since 5 + 3 + 56 + 562 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 535656195 and 535656204.

It is not an unprimeable number, because it can be changed into a prime (535656241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2222520 + ... + 2222760.

It is an arithmetic number, because the mean of its divisors is an integer number (5446452).

Almost surely, 2^535656240 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 535656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089290400).

535656240 is an abundant number, since it is smaller than the sum of its proper divisors (1642924560).

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

535656240 is a wasteful number, since it uses less digits than its factorization.

535656240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 535656240 is about 23144.2485296023. The cubic root of 535656240 is about 812.1359265118.

The spelling of 535656240 in words is "five hundred thirty-five million, six hundred fifty-six thousand, two hundred forty".