540930830400 has 567 divisors, whose sum is σ = 2005274087869. Its totient is φ = 143612766720.

The previous prime is 540930830359. The next prime is 540930830413. The reversal of 540930830400 is 4038039045.

The square root of 540930830400 is 735480.

It is a perfect power (a square), and thus also a powerful number.

540930830400 is a `hidden beast` number, since 5 + 40 + 9 + 308 + 304 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194735098944 + 346195731456 = 441288^2 + 588384^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2382955087 + ... + 2382955313.

Almost surely, 2^540930830400 is an apocalyptic number.

540930830400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

540930830400 is the 735480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540930830400

540930830400 is an abundant number, since it is smaller than the sum of its proper divisors (1464343257469).

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

540930830400 is an frugal number, since it uses more digits than its factorization.

540930830400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 237 counting only the distinct ones).

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

Multiplying 540930830400 by its sum of digits (36), we get a square (19473509894400 = 4412880²).

540930830400 divided by its sum of digits (36) gives a square (15025856400 = 122580²).

Adding to 540930830400 its reverse (4038039045), we get a palindrome (544968869445).

It can be divided in two parts, 5409 and 30830400, that added together give a square (30835809 = 5553²).

The spelling of 540930830400 in words is "five hundred forty billion, nine hundred thirty million, eight hundred thirty thousand, four hundred".