540553200 has 240 divisors, whose sum is σ = 1951398912. Its totient is φ = 126720000.

The previous prime is 540553183. The next prime is 540553217. The reversal of 540553200 is 2355045.

It is an interprime number because it is at equal distance from previous prime (540553183) and next prime (540553217).

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 408540 + ... + 409860.

Almost surely, 2^540553200 is an apocalyptic number.

540553200 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 540553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975699456).

540553200 is an abundant number, since it is smaller than the sum of its proper divisors (1410845712).

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

540553200 is a wasteful number, since it uses less digits than its factorization.

540553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 540553200 is about 23249.7999991398. The cubic root of 540553200 is about 814.6032670791.

The spelling of 540553200 in words is "five hundred forty million, five hundred fifty-three thousand, two hundred".