540413328 has 240 divisors, whose sum is σ = 1789218816. Its totient is φ = 137479680.

The previous prime is 540413309. The next prime is 540413369. The reversal of 540413328 is 823314045.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 540413295 and 540413304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1760151 + ... + 1760457.

Almost surely, 2^540413328 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 540413328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894609408).

540413328 is an abundant number, since it is smaller than the sum of its proper divisors (1248805488).

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

540413328 is a wasteful number, since it uses less digits than its factorization.

540413328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 363 counting only the distinct ones).

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

The square root of 540413328 is about 23246.7917786520. The cubic root of 540413328 is about 814.5329995474.

The spelling of 540413328 in words is "five hundred forty million, four hundred thirteen thousand, three hundred twenty-eight".