541947840 has 336 divisors, whose sum is σ = 2057729184. Its totient is φ = 120422400.

The previous prime is 541947823. The next prime is 541947869. The reversal of 541947840 is 48749145.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×541947840² = 587414922561331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 541947792 and 541947801.

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 47 ways as a sum of consecutive naturals, for example, 1928500 + ... + 1928780.

It is an arithmetic number, because the mean of its divisors is an integer number (6124194).

Almost surely, 2^541947840 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 541947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028864592).

541947840 is an abundant number, since it is smaller than the sum of its proper divisors (1515781344).

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

541947840 is a wasteful number, since it uses less digits than its factorization.

541947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 541947840 is about 23279.7731947715. The cubic root of 541947840 is about 815.3032306609.

The spelling of 541947840 in words is "five hundred forty-one million, nine hundred forty-seven thousand, eight hundred forty".