541895640 has 256 divisors, whose sum is σ = 1994388480. Its totient is φ = 115906560.

The previous prime is 541895639. The next prime is 541895659. The reversal of 541895640 is 46598145.

It is a junction number, because it is equal to n+sod(n) for n = 541895592 and 541895601.

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 63 ways as a sum of consecutive naturals, for example, 393994 + ... + 395366.

It is an arithmetic number, because the mean of its divisors is an integer number (7790580).

Almost surely, 2^541895640 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 541895640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997194240).

541895640 is an abundant number, since it is smaller than the sum of its proper divisors (1452492840).

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

541895640 is a wasteful number, since it uses less digits than its factorization.

541895640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 541895640 is about 23278.6520228298. The cubic root of 541895640 is about 815.2770533600.

The spelling of 541895640 in words is "five hundred forty-one million, eight hundred ninety-five thousand, six hundred forty".