541946880 has 264 divisors, whose sum is σ = 1979858400. Its totient is φ = 136691712.

The previous prime is 541946843. The next prime is 541946921. The reversal of 541946880 is 88649145.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 875211 + ... + 875829.

Almost surely, 2^541946880 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 541946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989929200).

541946880 is an abundant number, since it is smaller than the sum of its proper divisors (1437911520).

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

541946880 is a wasteful number, since it uses less digits than its factorization.

541946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 541946880 is about 23279.7525760048. The cubic root of 541946880 is about 815.3027492545.

The spelling of 541946880 in words is "five hundred forty-one million, nine hundred forty-six thousand, eight hundred eighty".