536275200 has 432 divisors, whose sum is σ = 1970873856. Its totient is φ = 127795200.

The previous prime is 536275189. The next prime is 536275297. The reversal of 536275200 is 2572635.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10118374 + ... + 10118426.

It is an arithmetic number, because the mean of its divisors is an integer number (4562208).

Almost surely, 2^536275200 is an apocalyptic number.

536275200 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 536275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985436928).

536275200 is an abundant number, since it is smaller than the sum of its proper divisors (1434598656).

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

536275200 is a wasteful number, since it uses less digits than its factorization.

536275200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 536275200 is about 23157.6164576582. The cubic root of 536275200 is about 812.4486184470.

The spelling of 536275200 in words is "five hundred thirty-six million, two hundred seventy-five thousand, two hundred".