541234540 has 96 divisors (see below), whose sum is σ = 1466035200. Its totient is φ = 162865920.

The previous prime is 541234537. The next prime is 541234567. The reversal of 541234540 is 45432145.

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 = 541234499 and 541234508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38601 + ... + 50719.

It is an arithmetic number, because the mean of its divisors is an integer number (15271200).

Almost surely, 2^541234540 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 541234540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733017600).

541234540 is an abundant number, since it is smaller than the sum of its proper divisors (924800660).

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

541234540 is a wasteful number, since it uses less digits than its factorization.

541234540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175 (or 12173 counting only the distinct ones).

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

The square root of 541234540 is about 23264.4479839948. The cubic root of 541234540 is about 814.9453788026.

Adding to 541234540 its reverse (45432145), we get a palindrome (586666685).

The spelling of 541234540 in words is "five hundred forty-one million, two hundred thirty-four thousand, five hundred forty".