540114432 has 160 divisors (see below), whose sum is σ = 1691141760. Its totient is φ = 151019520.

The previous prime is 540114409. The next prime is 540114433. The reversal of 540114432 is 234411045.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540114433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218419 + ... + 220877.

It is an arithmetic number, because the mean of its divisors is an integer number (10569636).

Almost surely, 2^540114432 is an apocalyptic number.

540114432 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 540114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845570880).

540114432 is an abundant number, since it is smaller than the sum of its proper divisors (1151027328).

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

540114432 is a wasteful number, since it uses less digits than its factorization.

540114432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 540114432 is about 23240.3621314299. The cubic root of 540114432 is about 814.3828024411.

Adding to 540114432 its reverse (234411045), we get a palindrome (774525477).

The spelling of 540114432 in words is "five hundred forty million, one hundred fourteen thousand, four hundred thirty-two".