535205440 has 336 divisors, whose sum is σ = 1688713920. Its totient is φ = 159559680.

The previous prime is 535205417. The next prime is 535205443. The reversal of 535205440 is 44502535.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 535205399 and 535205408.

It is not an unprimeable number, because it can be changed into a prime (535205443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5001867 + ... + 5001973.

Almost surely, 2^535205440 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 535205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844356960).

535205440 is an abundant number, since it is smaller than the sum of its proper divisors (1153508480).

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

535205440 is a wasteful number, since it uses less digits than its factorization.

535205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The square root of 535205440 is about 23134.5075590556. The cubic root of 535205440 is about 811.9080355618.

Adding to 535205440 its reverse (44502535), we get a palindrome (579707975).

The spelling of 535205440 in words is "five hundred thirty-five million, two hundred five thousand, four hundred forty".