540129304 has 64 divisors (see below), whose sum is σ = 1259828640. Its totient is φ = 213288960.

The previous prime is 540129301. The next prime is 540129313. The reversal of 540129304 is 403921045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540129301) 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, 5562 + ... + 33334.

Almost surely, 2^540129304 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 540129304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629914320).

540129304 is an abundant number, since it is smaller than the sum of its proper divisors (719699336).

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

540129304 is a wasteful number, since it uses less digits than its factorization.

540129304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27820 (or 27816 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 540129304 is about 23240.6820898183. The cubic root of 540129304 is about 814.3902770238.

The spelling of 540129304 in words is "five hundred forty million, one hundred twenty-nine thousand, three hundred four".