540478400 has 336 divisors, whose sum is σ = 1714390272. Its totient is φ = 162816000.

The previous prime is 540478391. The next prime is 540478417. The reversal of 540478400 is 4874045.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 47 ways as a sum of consecutive naturals, for example, 5051147 + ... + 5051253.

It is an arithmetic number, because the mean of its divisors is an integer number (5102352).

Almost surely, 2^540478400 is an apocalyptic number.

540478400 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 540478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857195136).

540478400 is an abundant number, since it is smaller than the sum of its proper divisors (1173911872).

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

540478400 is a wasteful number, since it uses less digits than its factorization.

540478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 540478400 is about 23248.1913274990. The cubic root of 540478400 is about 814.5656912924.

The spelling of 540478400 in words is "five hundred forty million, four hundred seventy-eight thousand, four hundred".