536509280 has 96 divisors (see below), whose sum is σ = 1342202400. Its totient is φ = 202309632.

The previous prime is 536509241. The next prime is 536509283. The reversal of 536509280 is 82905635.

It is a super-2 number, since 2×536509280² = 575684415052236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536509283) 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 15 ways as a sum of consecutive naturals, for example, 198176 + ... + 200864.

It is an arithmetic number, because the mean of its divisors is an integer number (13981275).

Almost surely, 2^536509280 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 536509280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671101200).

536509280 is an abundant number, since it is smaller than the sum of its proper divisors (805693120).

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

536509280 is a wasteful number, since it uses less digits than its factorization.

536509280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The square root of 536509280 is about 23162.6699669965. The cubic root of 536509280 is about 812.5668104430.

The spelling of 536509280 in words is "five hundred thirty-six million, five hundred nine thousand, two hundred eighty".