536238000 has 240 divisors, whose sum is σ = 1935328512. Its totient is φ = 138384000.

The previous prime is 536237983. The next prime is 536238011. The reversal of 536238000 is 832635.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17297985 + ... + 17298015.

Almost surely, 2^536238000 is an apocalyptic number.

536238000 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 536238000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967664256).

536238000 is an abundant number, since it is smaller than the sum of its proper divisors (1399090512).

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

536238000 is an equidigital number, since it uses as much as digits as its factorization.

536238000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 536238000 is about 23156.8132522590. The cubic root of 536238000 is about 812.4298322048.

The spelling of 536238000 in words is "five hundred thirty-six million, two hundred thirty-eight thousand".