539660400 has 240 divisors, whose sum is σ = 1815598080. Its totient is φ = 136857600.

The previous prime is 539660389. The next prime is 539660413. The reversal of 539660400 is 4066935.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3310719 + ... + 3310881.

It is an arithmetic number, because the mean of its divisors is an integer number (7564992).

Almost surely, 2^539660400 is an apocalyptic number.

539660400 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 539660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907799040).

539660400 is an abundant number, since it is smaller than the sum of its proper divisors (1275937680).

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

539660400 is a wasteful number, since it uses less digits than its factorization.

539660400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 539660400 is about 23230.5918994760. The cubic root of 539660400 is about 814.1545424729.

The spelling of 539660400 in words is "five hundred thirty-nine million, six hundred sixty thousand, four hundred".