540465 has 16 divisors (see below), whose sum is σ = 874368. Its totient is φ = 285056.

The previous prime is 540461. The next prime is 540469. The reversal of 540465 is 564045.

540465 = T₂₃₆ + T₂₃₇ + ... + T₂₅₃.

540465 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 (540461) and next prime (540469).

It is a cyclic number.

It is not a de Polignac number, because 540465 - 2² = 540461 is a prime.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (540461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1924 + ... + 2186.

It is an arithmetic number, because the mean of its divisors is an integer number (54648).

2⁵⁴⁰⁴⁶⁵ is an apocalyptic number.

It is an amenable number.

540465 is a deficient number, since it is larger than the sum of its proper divisors (333903).

540465 is a wasteful number, since it uses less digits than its factorization.

540465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408.

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 540465 is about 735.1632471771. The cubic root of 540465 is about 81.4558959435.

It can be divided in two parts, 5 and 40465, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 540465 in words is "five hundred forty thousand, four hundred sixty-five".