535144320 has 448 divisors, whose sum is σ = 2033504640. Its totient is φ = 134369280.

The previous prime is 535144261. The next prime is 535144321. The reversal of 535144320 is 23441535.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535144321) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14463342 + ... + 14463378.

Almost surely, 2^535144320 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 535144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016752320).

535144320 is an abundant number, since it is smaller than the sum of its proper divisors (1498360320).

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

535144320 is an equidigital number, since it uses as much as digits as its factorization.

535144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 535144320 is about 23133.1865509272. The cubic root of 535144320 is about 811.8771279859.

Adding to 535144320 its reverse (23441535), we get a palindrome (558585855).

The spelling of 535144320 in words is "five hundred thirty-five million, one hundred forty-four thousand, three hundred twenty".