540282744 has 64 divisors (see below), whose sum is σ = 1508522400. Its totient is φ = 179165952.

The previous prime is 540282739. The next prime is 540282749. The reversal of 540282744 is 447282045.

It is an interprime number because it is at equal distance from previous prime (540282739) and next prime (540282749).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 540282699 and 540282708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540282749) 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, 36204 + ... + 48900.

Almost surely, 2^540282744 is an apocalyptic number.

540282744 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540282744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754261200).

540282744 is an abundant number, since it is smaller than the sum of its proper divisors (968239656).

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

540282744 is a wasteful number, since it uses less digits than its factorization.

540282744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12909 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 540282744 is about 23243.9829633391. The cubic root of 540282744 is about 814.4673870862.

The spelling of 540282744 in words is "five hundred forty million, two hundred eighty-two thousand, seven hundred forty-four".