541833540 has 144 divisors (see below), whose sum is σ = 1626934848. Its totient is φ = 134652672.

The previous prime is 541833529. The next prime is 541833553. The reversal of 541833540 is 45338145.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1364622 + ... + 1365018.

Almost surely, 2^541833540 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 541833540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813467424).

541833540 is an abundant number, since it is smaller than the sum of its proper divisors (1085101308).

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

541833540 is a wasteful number, since it uses less digits than its factorization.

541833540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 541833540 is about 23277.3181444942. The cubic root of 541833540 is about 815.2459092088.

The spelling of 541833540 in words is "five hundred forty-one million, eight hundred thirty-three thousand, five hundred forty".