540393364 has 108 divisors (see below), whose sum is σ = 1204469280. Its totient is φ = 210924000.

The previous prime is 540393361. The next prime is 540393367. The reversal of 540393364 is 463393045.

540393364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540393361) and next prime (540393367).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540393361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3578689 + ... + 3578839.

Almost surely, 2^540393364 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 540393364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602234640).

540393364 is an abundant number, since it is smaller than the sum of its proper divisors (664075916).

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

540393364 is a wasteful number, since it uses less digits than its factorization.

540393364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

The square root of 540393364 is about 23246.3623821019. The cubic root of 540393364 is about 814.5229692390.

The spelling of 540393364 in words is "five hundred forty million, three hundred ninety-three thousand, three hundred sixty-four".