540661440 has 112 divisors (see below), whose sum is σ = 1872691200. Its totient is φ = 131066880.

The previous prime is 540661439. The next prime is 540661441. The reversal of 540661440 is 44166045.

It is an interprime number because it is at equal distance from previous prime (540661439) and next prime (540661441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 540661398 and 540661407.

It is not an unprimeable number, because it can be changed into a prime (540661441) 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, 15040 + ... + 36159.

Almost surely, 2^540661440 is an apocalyptic number.

It is an amenable number.

540661440 is an abundant number, since it is smaller than the sum of its proper divisors (1332029760).

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

540661440 is a wasteful number, since it uses less digits than its factorization.

540661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51230 (or 51220 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 540661440 is about 23252.1276445834. The cubic root of 540661440 is about 814.6576353158.

The spelling of 540661440 in words is "five hundred forty million, six hundred sixty-one thousand, four hundred forty".