535505400 has 72 divisors (see below), whose sum is σ = 1798411680. Its totient is φ = 142800960.

The previous prime is 535505393. The next prime is 535505407. The reversal of 535505400 is 4505535.

It is an interprime number because it is at equal distance from previous prime (535505393) and next prime (535505407).

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (535505407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 146952 + ... + 150551.

It is an arithmetic number, because the mean of its divisors is an integer number (24977940).

Almost surely, 2^535505400 is an apocalyptic number.

535505400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

535505400 is an abundant number, since it is smaller than the sum of its proper divisors (1262906280).

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

535505400 is a wasteful number, since it uses less digits than its factorization.

535505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297525 (or 297513 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 535505400 is about 23140.9896071884. The cubic root of 535505400 is about 812.0596872656.

The spelling of 535505400 in words is "five hundred thirty-five million, five hundred five thousand, four hundred".