536417280 has 264 divisors, whose sum is σ = 2125473792. Its totient is φ = 122535936.

The previous prime is 536417279. The next prime is 536417281. The reversal of 536417280 is 82714635.

536417280 is a `hidden beast` number, since 5 + 3 + 641 + 7 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (536417279) and next prime (536417281).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536417281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321729 + ... + 323391.

Almost surely, 2^536417280 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 536417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062736896).

536417280 is an abundant number, since it is smaller than the sum of its proper divisors (1589056512).

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

536417280 is a wasteful number, since it uses less digits than its factorization.

536417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 536417280 is about 23160.6839277255. The cubic root of 536417280 is about 812.5203617777.

The spelling of 536417280 in words is "five hundred thirty-six million, four hundred seventeen thousand, two hundred eighty".