541297920 has 144 divisors (see below), whose sum is σ = 1753359552. Its totient is φ = 142295040.

The previous prime is 541297907. The next prime is 541297931. The reversal of 541297920 is 29792145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279355 + ... + 281285.

It is an arithmetic number, because the mean of its divisors is an integer number (12176108).

Almost surely, 2^541297920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876679776).

541297920 is an abundant number, since it is smaller than the sum of its proper divisors (1212061632).

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

541297920 is a wasteful number, since it uses less digits than its factorization.

541297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2028 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 541297920 is about 23265.8101083973. The cubic root of 541297920 is about 814.9771883161.

The spelling of 541297920 in words is "five hundred forty-one million, two hundred ninety-seven thousand, nine hundred twenty".