540153461 has 8 divisors (see below), whose sum is σ = 574804800. Its totient is φ = 505821888.

The previous prime is 540153457. The next prime is 540153463. The reversal of 540153461 is 164351045.

It is a happy number.

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 540153461 - 2² = 540153457 is a prime.

It is a super-3 number, since 3×540153461³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540153463) 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, 76451 + ... + 83216.

It is an arithmetic number, because the mean of its divisors is an integer number (71850600).

Almost surely, 2^540153461 is an apocalyptic number.

It is an amenable number.

540153461 is a deficient number, since it is larger than the sum of its proper divisors (34651339).

540153461 is a wasteful number, since it uses less digits than its factorization.

540153461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159883.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 540153461 is about 23241.2017976696. The cubic root of 540153461 is about 814.4024179022.

The spelling of 540153461 in words is "five hundred forty million, one hundred fifty-three thousand, four hundred sixty-one".