536258880 has 280 divisors, whose sum is σ = 2021436648. Its totient is φ = 134479872.

The previous prime is 536258867. The next prime is 536258893. The reversal of 536258880 is 88852635.

It is a happy number.

536258880 is a `hidden beast` number, since 5 + 3 + 62 + 588 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (536258867) and next prime (536258893).

It can be written as a sum of positive squares in 4 ways, for example, as 75898944 + 460359936 = 8712^2 + 21456^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440032 + ... + 441248.

Almost surely, 2^536258880 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 536258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010718324).

536258880 is an abundant number, since it is smaller than the sum of its proper divisors (1485177768).

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

536258880 is a wasteful number, since it uses less digits than its factorization.

536258880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 536258880 is about 23157.2640871067. The cubic root of 536258880 is about 812.4403768477.

The spelling of 536258880 in words is "five hundred thirty-six million, two hundred fifty-eight thousand, eight hundred eighty".