535314144 has 144 divisors (see below), whose sum is σ = 1498355712. Its totient is φ = 167295744.

The previous prime is 535314127. The next prime is 535314193. The reversal of 535314144 is 441413535.

It is a super-2 number, since 2×535314144² = 573122465532905472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4215009 + ... + 4215135.

It is an arithmetic number, because the mean of its divisors is an integer number (10405248).

Almost surely, 2^535314144 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 535314144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749177856).

535314144 is an abundant number, since it is smaller than the sum of its proper divisors (963041568).

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

535314144 is a wasteful number, since it uses less digits than its factorization.

535314144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 535314144 is about 23136.8568306069. The cubic root of 535314144 is about 811.9629999237.

Adding to 535314144 its reverse (441413535), we get a palindrome (976727679).

It can be divided in two parts, 53531 and 4144, that added together give a palindrome (57675).

The spelling of 535314144 in words is "five hundred thirty-five million, three hundred fourteen thousand, one hundred forty-four".