305540400 has 240 divisors, whose sum is σ = 1084930560. Its totient is φ = 72883200.

The previous prime is 305540393. The next prime is 305540401. The reversal of 305540400 is 4045503.

It is a happy number.

305540400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (305540401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1042654 + ... + 1042946.

It is an arithmetic number, because the mean of its divisors is an integer number (4520544).

Almost surely, 2^305540400 is an apocalyptic number.

305540400 is a gapful number since it is divisible by the number (30) 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 305540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542465280).

305540400 is an abundant number, since it is smaller than the sum of its proper divisors (779390160).

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

305540400 is a wasteful number, since it uses less digits than its factorization.

305540400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 305540400 is about 17479.7139564697. The cubic root of 305540400 is about 673.5288673915.

Adding to 305540400 its reverse (4045503), we get a palindrome (309585903).

The spelling of 305540400 in words is "three hundred five million, five hundred forty thousand, four hundred".