540398304 has 120 divisors (see below), whose sum is σ = 1673096040. Its totient is φ = 170636544.

The previous prime is 540398291. The next prime is 540398311. The reversal of 540398304 is 403893045.

540398304 is a `hidden beast` number, since 540 + 39 + 83 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43762 + ... + 54734.

It is an arithmetic number, because the mean of its divisors is an integer number (13942467).

Almost surely, 2^540398304 is an apocalyptic number.

540398304 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540398304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836548020).

540398304 is an abundant number, since it is smaller than the sum of its proper divisors (1132697736).

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

540398304 is a wasteful number, since it uses less digits than its factorization.

540398304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 10997 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 540398304 is about 23246.4686350422. The cubic root of 540398304 is about 814.5254512157.

The spelling of 540398304 in words is "five hundred forty million, three hundred ninety-eight thousand, three hundred four".