540256464 has 120 divisors (see below), whose sum is σ = 1746531072. Its totient is φ = 154076160.

The previous prime is 540256463. The next prime is 540256471. The reversal of 540256464 is 464652045.

540256464 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 5 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540256463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16897 + ... + 36959.

Almost surely, 2^540256464 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 540256464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873265536).

540256464 is an abundant number, since it is smaller than the sum of its proper divisors (1206274608).

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

540256464 is a wasteful number, since it uses less digits than its factorization.

540256464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20105 (or 20096 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 540256464 is about 23243.4176488743. The cubic root of 540256464 is about 814.4541813156.

The spelling of 540256464 in words is "five hundred forty million, two hundred fifty-six thousand, four hundred sixty-four".