540350304 has 96 divisors (see below), whose sum is σ = 1617446880. Its totient is φ = 156475392.

The previous prime is 540350297. The next prime is 540350311. The reversal of 540350304 is 403053045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540350297) and next prime (540350311).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 8482 + ... + 33950.

It is an arithmetic number, because the mean of its divisors is an integer number (16848405).

Almost surely, 2^540350304 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 540350304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808723440).

540350304 is an abundant number, since it is smaller than the sum of its proper divisors (1077096576).

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

540350304 is a wasteful number, since it uses less digits than its factorization.

540350304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25512 (or 25504 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 540350304 is about 23245.4361972410. The cubic root of 540350304 is about 814.5013342024.

The spelling of 540350304 in words is "five hundred forty million, three hundred fifty thousand, three hundred four".