540237984 has 384 divisors, whose sum is σ = 1828915200. Its totient is φ = 137195520.

The previous prime is 540237983. The next prime is 540238003. The reversal of 540237984 is 489732045.

It is not an unprimeable number, because it can be changed into a prime (540237983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9156547 + ... + 9156605.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^540237984 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 540237984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914457600).

540237984 is an abundant number, since it is smaller than the sum of its proper divisors (1288677216).

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

540237984 is a wasteful number, since it uses less digits than its factorization.

540237984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 540237984 is about 23243.0201135739. The cubic root of 540237984 is about 814.4448948094. Note that the first 3 decimals are identical.

The spelling of 540237984 in words is "five hundred forty million, two hundred thirty-seven thousand, nine hundred eighty-four".