540350400 has 84 divisors (see below), whose sum is σ = 1772815352. Its totient is φ = 144092160.

The previous prime is 540350381. The next prime is 540350401. The reversal of 540350400 is 4053045.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540350401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 51487 + ... + 61086.

Almost surely, 2^540350400 is an apocalyptic number.

540350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540350400 is an abundant number, since it is smaller than the sum of its proper divisors (1232464952).

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

540350400 is a wasteful number, since it uses less digits than its factorization.

540350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112598 (or 112583 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 540350400 is about 23245.4382621623. The cubic root of 540350400 is about 814.5013824379.

The spelling of 540350400 in words is "five hundred forty million, three hundred fifty thousand, four hundred".