536804352 has 264 divisors, whose sum is σ = 1816360416. Its totient is φ = 149520384.

The previous prime is 536804351. The next prime is 536804357. The reversal of 536804352 is 253408635.

It is a happy number.

536804352 is a `hidden beast` number, since 536 + 80 + 43 + 5 + 2 = 666.

It is a super-2 number, since 2×536804352² = 576317824652279808, which contains 22 as substring.

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 (536804351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3419058 + ... + 3419214.

Almost surely, 2^536804352 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 536804352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908180208).

536804352 is an abundant number, since it is smaller than the sum of its proper divisors (1279556064).

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

536804352 is a wasteful number, since it uses less digits than its factorization.

536804352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 536804352 is about 23169.0386507511. The cubic root of 536804352 is about 812.7157496322.

The spelling of 536804352 in words is "five hundred thirty-six million, eight hundred four thousand, three hundred fifty-two".