541394880 has 336 divisors, whose sum is σ = 1927701504. Its totient is φ = 128593920.

The previous prime is 541394879. The next prime is 541394899. The reversal of 541394880 is 88493145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7625245 + ... + 7625315.

Almost surely, 2^541394880 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 541394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963850752).

541394880 is an abundant number, since it is smaller than the sum of its proper divisors (1386306624).

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

541394880 is a wasteful number, since it uses less digits than its factorization.

541394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 541394880 is about 23267.8937594274. The cubic root of 541394880 is about 815.0258463456.

The spelling of 541394880 in words is "five hundred forty-one million, three hundred ninety-four thousand, eight hundred eighty".