540480400 has 60 divisors (see below), whose sum is σ = 1316862144. Its totient is φ = 213136000.

The previous prime is 540480389. The next prime is 540480487. The reversal of 540480400 is 4084045.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 11 ways as a sum of consecutive naturals, for example, 18885 + ... + 37915.

Almost surely, 2^540480400 is an apocalyptic number.

540480400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658431072).

540480400 is an abundant number, since it is smaller than the sum of its proper divisors (776381744).

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

540480400 is a wasteful number, since it uses less digits than its factorization.

540480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19120 (or 19109 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 540480400 is about 23248.2343415581. The cubic root of 540480400 is about 814.5666960377.

The spelling of 540480400 in words is "five hundred forty million, four hundred eighty thousand, four hundred".