540739800 has 240 divisors, whose sum is σ = 1944518400. Its totient is φ = 139104000.

The previous prime is 540739799. The next prime is 540739811. The reversal of 540739800 is 8937045.

540739800 is a `hidden beast` number, since 540 + 7 + 39 + 80 + 0 = 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 469225 + ... + 470375.

It is an arithmetic number, because the mean of its divisors is an integer number (8102160).

Almost surely, 2^540739800 is an apocalyptic number.

540739800 is a gapful number since it is divisible by the number (50) 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 540739800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972259200).

540739800 is an abundant number, since it is smaller than the sum of its proper divisors (1403778600).

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

540739800 is a wasteful number, since it uses less digits than its factorization.

540739800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 540739800 is about 23253.8125906269. The cubic root of 540739800 is about 814.6969904981.

The spelling of 540739800 in words is "five hundred forty million, seven hundred thirty-nine thousand, eight hundred".