540417264 has 80 divisors (see below), whose sum is σ = 1449053088. Its totient is φ = 173408256.

The previous prime is 540417263. The next prime is 540417277. The reversal of 540417264 is 462714045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540417263) 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, 170704 + ... + 173840.

Almost surely, 2^540417264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540417264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724526544).

540417264 is an abundant number, since it is smaller than the sum of its proper divisors (908635824).

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

540417264 is a wasteful number, since it uses less digits than its factorization.

540417264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 540417264 is about 23246.8764353407. The cubic root of 540417264 is about 814.5349770425.

The spelling of 540417264 in words is "five hundred forty million, four hundred seventeen thousand, two hundred sixty-four".