540501390 has 128 divisors (see below), whose sum is σ = 1693440000. Its totient is φ = 120942720.

The previous prime is 540501389. The next prime is 540501397. The reversal of 540501390 is 93105045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540501397) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31611 + ... + 45609.

It is an arithmetic number, because the mean of its divisors is an integer number (13230000).

Almost surely, 2^540501390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540501390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720000).

540501390 is an abundant number, since it is smaller than the sum of its proper divisors (1152938610).

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

540501390 is a wasteful number, since it uses less digits than its factorization.

540501390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14039 (or 14033 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 540501390 is about 23248.6857693075. The cubic root of 540501390 is about 814.5772406900.

The spelling of 540501390 in words is "five hundred forty million, five hundred one thousand, three hundred ninety".