541084320 has 384 divisors, whose sum is σ = 2242598400. Its totient is φ = 119218176.

The previous prime is 541084319. The next prime is 541084363. The reversal of 541084320 is 23480145.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876652 + ... + 877268.

It is an arithmetic number, because the mean of its divisors is an integer number (5840100).

Almost surely, 2^541084320 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 541084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121299200).

541084320 is an abundant number, since it is smaller than the sum of its proper divisors (1701514080).

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

541084320 is a wasteful number, since it uses less digits than its factorization.

541084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 541084320 is about 23261.2192285787. The cubic root of 541084320 is about 814.8699756188.

The spelling of 541084320 in words is "five hundred forty-one million, eighty-four thousand, three hundred twenty".