541260720 has 480 divisors, whose sum is σ = 2443843584. Its totient is φ = 103680000.

The previous prime is 541260719. The next prime is 541260757. The reversal of 541260720 is 27062145.

541260720 is a `hidden beast` number, since 54 + 1 + 2 + 607 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720345 + ... + 721095.

Almost surely, 2^541260720 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 541260720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221921792).

541260720 is an abundant number, since it is smaller than the sum of its proper divisors (1902582864).

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

541260720 is a wasteful number, since it uses less digits than its factorization.

541260720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 541260720 is about 23265.0106382954. The cubic root of 541260720 is about 814.9585184704.

The spelling of 541260720 in words is "five hundred forty-one million, two hundred sixty thousand, seven hundred twenty".