541263200 has 72 divisors (see below), whose sum is σ = 1324602720. Its totient is φ = 215974400.

The previous prime is 541263137. The next prime is 541263257. The reversal of 541263200 is 2362145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574730 + ... + 575670.

It is an arithmetic number, because the mean of its divisors is an integer number (18397260).

Almost surely, 2^541263200 is an apocalyptic number.

541263200 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 541263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662301360).

541263200 is an abundant number, since it is smaller than the sum of its proper divisors (783339520).

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

541263200 is a wasteful number, since it uses less digits than its factorization.

541263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 541263200 is about 23265.0639371569. The cubic root of 541263200 is about 814.9597631533.

The spelling of 541263200 in words is "five hundred forty-one million, two hundred sixty-three thousand, two hundred".