535330400 has 144 divisors (see below), whose sum is σ = 1439907840. Its totient is φ = 192729600.

The previous prime is 535330379. The next prime is 535330417. The reversal of 535330400 is 4033535.

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, 1117361 + ... + 1117839.

It is an arithmetic number, because the mean of its divisors is an integer number (9999360).

Almost surely, 2^535330400 is an apocalyptic number.

535330400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 535330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719953920).

535330400 is an abundant number, since it is smaller than the sum of its proper divisors (904577440).

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

535330400 is a wasteful number, since it uses less digits than its factorization.

535330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 23.

The square root of 535330400 is about 23137.2081288992. The cubic root of 535330400 is about 811.9712188590.

Adding to 535330400 its reverse (4033535), we get a palindrome (539363935).

It can be divided in two parts, 5353 and 30400, that added together give a palindrome (35753).

The spelling of 535330400 in words is "five hundred thirty-five million, three hundred thirty thousand, four hundred".