540824900 has 72 divisors (see below), whose sum is σ = 1463198016. Its totient is φ = 168566400.

The previous prime is 540824897. The next prime is 540824903. The reversal of 540824900 is 9428045.

It is an interprime number because it is at equal distance from previous prime (540824897) and next prime (540824903).

It is not an unprimeable number, because it can be changed into a prime (540824903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27419 + ... + 42818.

Almost surely, 2^540824900 is an apocalyptic number.

540824900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540824900 is an abundant number, since it is smaller than the sum of its proper divisors (922373116).

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

540824900 is a wasteful number, since it uses less digits than its factorization.

540824900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70269 (or 70262 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 540824900 is about 23255.6423261109. The cubic root of 540824900 is about 814.7397264419.

The spelling of 540824900 in words is "five hundred forty million, eight hundred twenty-four thousand, nine hundred".