541900992 has 56 divisors (see below), whose sum is σ = 1446525936. Its totient is φ = 179027968.

The previous prime is 541900981. The next prime is 541901011. The reversal of 541900992 is 299009145.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 541900992.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9208 + ... + 34184.

Almost surely, 2^541900992 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 541900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723262968).

541900992 is an abundant number, since it is smaller than the sum of its proper divisors (904624944).

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

541900992 is a wasteful number, since it uses less digits than its factorization.

541900992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25105 (or 25095 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 39.

The square root of 541900992 is about 23278.7669776558. The cubic root of 541900992 is about 815.2797373629.

The spelling of 541900992 in words is "five hundred forty-one million, nine hundred thousand, nine hundred ninety-two".