540057700 has 144 divisors (see below), whose sum is σ = 1527652224. Its totient is φ = 160819200.

The previous prime is 540057697. The next prime is 540057703. The reversal of 540057700 is 7750045.

It is an interprime number because it is at equal distance from previous prime (540057697) and next prime (540057703).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (540057703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152955 + ... + 156445.

It is an arithmetic number, because the mean of its divisors is an integer number (10608696).

Almost surely, 2^540057700 is an apocalyptic number.

540057700 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 540057700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763826112).

540057700 is an abundant number, since it is smaller than the sum of its proper divisors (987594524).

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

540057700 is a wasteful number, since it uses less digits than its factorization.

540057700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3542 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 540057700 is about 23239.1415504102. The cubic root of 540057700 is about 814.3542880004.

The spelling of 540057700 in words is "five hundred forty million, fifty-seven thousand, seven hundred".