541347840 has 416 divisors, whose sum is σ = 2123107200. Its totient is φ = 129761280.

The previous prime is 541347839. The next prime is 541347841. The reversal of 541347840 is 48743145.

541347840 is a `hidden beast` number, since 541 + 3 + 4 + 78 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (541347839) and next prime (541347841).

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

It is a junction number, because it is equal to n+sod(n) for n = 541347795 and 541347804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541347841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082516 + ... + 6082604.

Almost surely, 2^541347840 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 541347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061553600).

541347840 is an abundant number, since it is smaller than the sum of its proper divisors (1581759360).

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

541347840 is a wasteful number, since it uses less digits than its factorization.

541347840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 541347840 is about 23266.8829025291. The cubic root of 541347840 is about 815.0022407004.

The spelling of 541347840 in words is "five hundred forty-one million, three hundred forty-seven thousand, eight hundred forty".