535280000 has 80 divisors (see below), whose sum is σ = 1332745260. Its totient is φ = 214080000.

The previous prime is 535279993. The next prime is 535280059. The reversal of 535280000 is 82535.

It is a tau number, because it is divible by the number of its divisors (80).

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 9 ways as a sum of consecutive naturals, for example, 76655 + ... + 83345.

Almost surely, 2^535280000 is an apocalyptic number.

535280000 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 535280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666372630).

535280000 is an abundant number, since it is smaller than the sum of its proper divisors (797465260).

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

535280000 is an frugal number, since it uses more digits than its factorization.

535280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 535280000 is about 23136.1189485186. The cubic root of 535280000 is about 811.9457363821.

The spelling of 535280000 in words is "five hundred thirty-five million, two hundred eighty thousand".