540446500 has 72 divisors (see below), whose sum is σ = 1297538424. Its totient is φ = 196504000.

The previous prime is 540446477. The next prime is 540446527. The reversal of 540446500 is 5644045.

It can be written as a sum of positive squares in 4 ways, for example, as 60310756 + 480135744 = 7766^2 + 21912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56034 + ... + 64966.

It is an arithmetic number, because the mean of its divisors is an integer number (18021367).

Almost surely, 2^540446500 is an apocalyptic number.

540446500 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 540446500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648769212).

540446500 is an abundant number, since it is smaller than the sum of its proper divisors (757091924).

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

540446500 is a wasteful number, since it uses less digits than its factorization.

540446500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8974 (or 8951 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 540446500 is about 23247.5052424986. The cubic root of 540446500 is about 814.5496652700.

The spelling of 540446500 in words is "five hundred forty million, four hundred forty-six thousand, five hundred".