536256000 has 720 divisors, whose sum is σ = 2365094160. Its totient is φ = 116121600.

The previous prime is 536255989. The next prime is 536256013. The reversal of 536256000 is 652635.

536256000 is a `hidden beast` number, since 5 + 36 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28223991 + ... + 28224009.

It is an arithmetic number, because the mean of its divisors is an integer number (3284853).

Almost surely, 2^536256000 is an apocalyptic number.

536256000 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 536256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182547080).

536256000 is an abundant number, since it is smaller than the sum of its proper divisors (1828838160).

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

536256000 is a wasteful number, since it uses less digits than its factorization.

536256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 536256000 is about 23157.2019035116. The cubic root of 536256000 is about 812.4389224305.

The spelling of 536256000 in words is "five hundred thirty-six million, two hundred fifty-six thousand".