540210000 has 200 divisors, whose sum is σ = 1903565664. Its totient is φ = 130880000.

The previous prime is 540209987. The next prime is 540210019. The reversal of 540210000 is 12045.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×540210000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329182 + ... + 330818.

Almost surely, 2^540210000 is an apocalyptic number.

540210000 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 540210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951782832).

540210000 is an abundant number, since it is smaller than the sum of its proper divisors (1363355664).

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

540210000 is a wasteful number, since it uses less digits than its factorization.

540210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 540210000 is about 23242.4181186038. The cubic root of 540210000 is about 814.4308319827.

Adding to 540210000 its reverse (12045), we get a palindrome (540222045).

The spelling of 540210000 in words is "five hundred forty million, two hundred ten thousand".