536230800 has 480 divisors, whose sum is σ = 2247356160. Its totient is φ = 118886400.

The previous prime is 536230789. The next prime is 536230817. The reversal of 536230800 is 8032635.

536230800 = 148² + 149² + ... + 1172².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3099514 + ... + 3099686.

It is an arithmetic number, because the mean of its divisors is an integer number (4681992).

Almost surely, 2^536230800 is an apocalyptic number.

536230800 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 536230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123678080).

536230800 is an abundant number, since it is smaller than the sum of its proper divisors (1711125360).

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

536230800 is a wasteful number, since it uses less digits than its factorization.

536230800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

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

The square root of 536230800 is about 23156.6577899316. The cubic root of 536230800 is about 812.4261960575.

The spelling of 536230800 in words is "five hundred thirty-six million, two hundred thirty thousand, eight hundred".