535121440 has 96 divisors (see below), whose sum is σ = 1453987584. Its totient is φ = 182307840.

The previous prime is 535121387. The next prime is 535121441. The reversal of 535121440 is 44121535.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (535121441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185610 + ... + 188470.

It is an arithmetic number, because the mean of its divisors is an integer number (15145704).

Almost surely, 2^535121440 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 535121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726993792).

535121440 is an abundant number, since it is smaller than the sum of its proper divisors (918866144).

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

535121440 is a wasteful number, since it uses less digits than its factorization.

535121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3050 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 535121440 is about 23132.6920180078. The cubic root of 535121440 is about 811.8655572671.

Adding to 535121440 its reverse (44121535), we get a palindrome (579242975).

The spelling of 535121440 in words is "five hundred thirty-five million, one hundred twenty-one thousand, four hundred forty".