541362432 has 216 divisors, whose sum is σ = 1612912224. Its totient is φ = 161021952.

The previous prime is 541362427. The next prime is 541362439. The reversal of 541362432 is 234263145.

It is a self number, because there is not a number n which added to its sum of digits gives 541362432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541362439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5581008 + ... + 5581104.

Almost surely, 2^541362432 is an apocalyptic number.

541362432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541362432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806456112).

541362432 is an abundant number, since it is smaller than the sum of its proper divisors (1071549792).

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

541362432 is a wasteful number, since it uses less digits than its factorization.

541362432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 541362432 is about 23267.1964791635. The cubic root of 541362432 is about 815.0095634142.

The spelling of 541362432 in words is "five hundred forty-one million, three hundred sixty-two thousand, four hundred thirty-two".