535008240 has 480 divisors, whose sum is σ = 2104240320. Its totient is φ = 125411328.

The previous prime is 535008233. The next prime is 535008259. The reversal of 535008240 is 42800535.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7328844 + ... + 7328916.

It is an arithmetic number, because the mean of its divisors is an integer number (4383834).

Almost surely, 2^535008240 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 535008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052120160).

535008240 is an abundant number, since it is smaller than the sum of its proper divisors (1569232080).

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

535008240 is a wasteful number, since it uses less digits than its factorization.

535008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 535008240 is about 23130.2451348878. The cubic root of 535008240 is about 811.8083056756.

Adding to 535008240 its reverse (42800535), we get a palindrome (577808775).

The spelling of 535008240 in words is "five hundred thirty-five million, eight thousand, two hundred forty".