541354240 has 144 divisors (see below), whose sum is σ = 1530547200. Its totient is φ = 179527680.

The previous prime is 541354211. The next prime is 541354259. The reversal of 541354240 is 42453145.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 541354199 and 541354208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276786 + ... + 278734.

It is an arithmetic number, because the mean of its divisors is an integer number (10628800).

Almost surely, 2^541354240 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 541354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765273600).

541354240 is an abundant number, since it is smaller than the sum of its proper divisors (989192960).

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

541354240 is a wasteful number, since it uses less digits than its factorization.

541354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 541354240 is about 23267.0204366610. The cubic root of 541354240 is about 815.0054524332.

The spelling of 541354240 in words is "five hundred forty-one million, three hundred fifty-four thousand, two hundred forty".