540416232 has 64 divisors (see below), whose sum is σ = 1506456000. Its totient is φ = 179502912.

The previous prime is 540416209. The next prime is 540416243. The reversal of 540416232 is 232614045.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 540416196 and 540416205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59019 + ... + 67557.

It is an arithmetic number, because the mean of its divisors is an integer number (23538375).

Almost surely, 2^540416232 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 540416232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753228000).

540416232 is an abundant number, since it is smaller than the sum of its proper divisors (966039768).

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

540416232 is a wasteful number, since it uses less digits than its factorization.

540416232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8847 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 540416232 is about 23246.8542387997. The cubic root of 540416232 is about 814.5344585539.

The spelling of 540416232 in words is "five hundred forty million, four hundred sixteen thousand, two hundred thirty-two".