541027600 has 45 divisors (see below), whose sum is σ = 1300937413. Its totient is φ = 216224960.

The previous prime is 541027583. The next prime is 541027607. The reversal of 541027600 is 6720145.

The square root of 541027600 is 23260.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 194769936 + 346257664 = 13956^2 + 18608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541027607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 464619 + ... + 465781.

Almost surely, 2^541027600 is an apocalyptic number.

541027600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

541027600 is the 23260-th square number.

It is an amenable number.

541027600 is an abundant number, since it is smaller than the sum of its proper divisors (759909813).

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

541027600 is an equidigital number, since it uses as much as digits as its factorization.

541027600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The cubic root of 541027600 is about 814.8415012890.

Multiplying 541027600 by its sum of digits (25), we get a square (13525690000 = 116300²).

541027600 divided by its sum of digits (25) gives a square (21641104 = 4652²).

Adding to 541027600 its reverse (6720145), we get a palindrome (547747745).

The spelling of 541027600 in words is "five hundred forty-one million, twenty-seven thousand, six hundred".