540457657 has 8 divisors (see below), whose sum is σ = 564981696. Its totient is φ = 516019152.

The previous prime is 540457651. The next prime is 540457663. The reversal of 540457657 is 756754045.

540457657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (540457651) and next prime (540457663).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540457657 - 2³ = 540457649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540457651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8283 + ... + 33904.

It is an arithmetic number, because the mean of its divisors is an integer number (70622712).

Almost surely, 2^540457657 is an apocalyptic number.

It is an amenable number.

540457657 is a deficient number, since it is larger than the sum of its proper divisors (24524039).

540457657 is a wasteful number, since it uses less digits than its factorization.

540457657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42767.

The product of its (nonzero) digits is 588000, while the sum is 43.

The square root of 540457657 is about 23247.7452024922. The cubic root of 540457657 is about 814.5552704305. Note that the first 3 decimals are identical.

The spelling of 540457657 in words is "five hundred forty million, four hundred fifty-seven thousand, six hundred fifty-seven".