540301320 has 256 divisors, whose sum is σ = 2007936000. Its totient is φ = 128314368.

The previous prime is 540301319. The next prime is 540301351. The reversal of 540301320 is 23103045.

540301320 is a `hidden beast` number, since 5 + 40 + 301 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 540301293 and 540301302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 406497 + ... + 407823.

It is an arithmetic number, because the mean of its divisors is an integer number (7843500).

Almost surely, 2^540301320 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 540301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003968000).

540301320 is an abundant number, since it is smaller than the sum of its proper divisors (1467634680).

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

540301320 is a wasteful number, since it uses less digits than its factorization.

540301320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 540301320 is about 23244.3825471876. The cubic root of 540301320 is about 814.4767213178.

Adding to 540301320 its reverse (23103045), we get a palindrome (563404365).

The spelling of 540301320 in words is "five hundred forty million, three hundred one thousand, three hundred twenty".