540153460 has 144 divisors (see below), whose sum is σ = 1458233280. Its totient is φ = 166172160.

The previous prime is 540153457. The next prime is 540153463. The reversal of 540153460 is 64351045.

It is an interprime number because it is at equal distance from previous prime (540153457) and next prime (540153463).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540153463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 959139 + ... + 959701.

It is an arithmetic number, because the mean of its divisors is an integer number (10126620).

Almost surely, 2^540153460 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 540153460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729116640).

540153460 is an abundant number, since it is smaller than the sum of its proper divisors (918079820).

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

540153460 is a wasteful number, since it uses less digits than its factorization.

540153460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 540153460 is about 23241.2017761561. The cubic root of 540153460 is about 814.4024173996.

It can be divided in two parts, 54015 and 3460, that added together give a palindrome (57475).

The spelling of 540153460 in words is "five hundred forty million, one hundred fifty-three thousand, four hundred sixty".