540349440 has 176 divisors, whose sum is σ = 1748170752. Its totient is φ = 142442496.

The previous prime is 540349429. The next prime is 540349451. The reversal of 540349440 is 44943045.

It is an interprime number because it is at equal distance from previous prime (540349429) and next prime (540349451).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1950582 + ... + 1950858.

Almost surely, 2^540349440 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 540349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874085376).

540349440 is an abundant number, since it is smaller than the sum of its proper divisors (1207821312).

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

540349440 is a wasteful number, since it uses less digits than its factorization.

540349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 540349440 is about 23245.4176129404. The cubic root of 540349440 is about 814.5009000831.

The spelling of 540349440 in words is "five hundred forty million, three hundred forty-nine thousand, four hundred forty".