541278720 has 320 divisors, whose sum is σ = 1979873280. Its totient is φ = 140083200.

The previous prime is 541278713. The next prime is 541278737. The reversal of 541278720 is 27872145.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2833825 + ... + 2834015.

It is an arithmetic number, because the mean of its divisors is an integer number (6187104).

Almost surely, 2^541278720 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 541278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989936640).

541278720 is an abundant number, since it is smaller than the sum of its proper divisors (1438594560).

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

541278720 is a wasteful number, since it uses less digits than its factorization.

541278720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 541278720 is about 23265.3974820977. The cubic root of 541278720 is about 814.9675523735.

The spelling of 541278720 in words is "five hundred forty-one million, two hundred seventy-eight thousand, seven hundred twenty".