536217240 has 256 divisors, whose sum is σ = 1854720000. Its totient is φ = 122923008.

The previous prime is 536217089. The next prime is 536217251. The reversal of 536217240 is 42712635.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 536217198 and 536217207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2341446 + ... + 2341674.

It is an arithmetic number, because the mean of its divisors is an integer number (7245000).

Almost surely, 2^536217240 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 536217240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927360000).

536217240 is an abundant number, since it is smaller than the sum of its proper divisors (1318502760).

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

536217240 is a wasteful number, since it uses less digits than its factorization.

536217240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 536217240 is about 23156.3649997144. The cubic root of 536217240 is about 812.4193478918.

Adding to 536217240 its reverse (42712635), we get a palindrome (578929875).

The spelling of 536217240 in words is "five hundred thirty-six million, two hundred seventeen thousand, two hundred forty".