540747900 has 648 divisors, whose sum is σ = 2327934336. Its totient is φ = 105753600.

The previous prime is 540747899. The next prime is 540747901. The reversal of 540747900 is 9747045.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (540747899) and next prime (540747901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540747901) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 31808692 + ... + 31808708.

Almost surely, 2^540747900 is an apocalyptic number.

540747900 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 540747900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163967168).

540747900 is an abundant number, since it is smaller than the sum of its proper divisors (1787186436).

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

540747900 is a wasteful number, since it uses less digits than its factorization.

540747900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 540747900 is about 23253.9867549631. The cubic root of 540747900 is about 814.7010583897.

The spelling of 540747900 in words is "five hundred forty million, seven hundred forty-seven thousand, nine hundred".