541057600 has 42 divisors (see below), whose sum is σ = 1331343794. Its totient is φ = 216422400.

The previous prime is 541057597. The next prime is 541057603. The reversal of 541057600 is 6750145.

It is an interprime number because it is at equal distance from previous prime (541057597) and next prime (541057603).

It can be written as a sum of positive squares in 3 ways, for example, as 96353856 + 444703744 = 9816^2 + 21088^2 .

It is not an unprimeable number, because it can be changed into a prime (541057603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 167481 + ... + 170680.

Almost surely, 2^541057600 is an apocalyptic number.

541057600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541057600 is an abundant number, since it is smaller than the sum of its proper divisors (790286194).

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

541057600 is a wasteful number, since it uses less digits than its factorization.

541057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338183 (or 338168 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 541057600 is about 23260.6448749814. The cubic root of 541057600 is about 814.8565620076.

The spelling of 541057600 in words is "five hundred forty-one million, fifty-seven thousand, six hundred".