540612480 has 128 divisors (see below), whose sum is σ = 1731225600. Its totient is φ = 143493120.

The previous prime is 540612431. The next prime is 540612487. The reversal of 540612480 is 84216045.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540612487) 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, 519801 + ... + 520839.

It is an arithmetic number, because the mean of its divisors is an integer number (13525200).

Almost surely, 2^540612480 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 540612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865612800).

540612480 is an abundant number, since it is smaller than the sum of its proper divisors (1190613120).

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

540612480 is a wasteful number, since it uses less digits than its factorization.

540612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 540612480 is about 23251.0748138661. The cubic root of 540612480 is about 814.6330439302.

The spelling of 540612480 in words is "five hundred forty million, six hundred twelve thousand, four hundred eighty".