540460480 has 112 divisors (see below), whose sum is σ = 1510808256. Its totient is φ = 180264960.

The previous prime is 540460471. The next prime is 540460489. The reversal of 540460480 is 84064045.

It is an interprime number because it is at equal distance from previous prime (540460471) and next prime (540460489).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540460489) 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 15 ways as a sum of consecutive naturals, for example, 79620 + ... + 86140.

Almost surely, 2^540460480 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 540460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755404128).

540460480 is an abundant number, since it is smaller than the sum of its proper divisors (970347776).

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

540460480 is a wasteful number, since it uses less digits than its factorization.

540460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6572 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 540460480 is about 23247.8059179786. The cubic root of 540460480 is about 814.5566886641.

The spelling of 540460480 in words is "five hundred forty million, four hundred sixty thousand, four hundred eighty".