305936400 has 540 divisors, whose sum is σ = 1282220016. Its totient is φ = 62092800.

The previous prime is 305936381. The next prime is 305936447. The reversal of 305936400 is 4639503.

It is a happy number.

305936400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 7114779 + ... + 7114821.

Almost surely, 2^305936400 is an apocalyptic number.

305936400 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 305936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641110008).

305936400 is an abundant number, since it is smaller than the sum of its proper divisors (976283616).

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

305936400 is a wasteful number, since it uses less digits than its factorization.

305936400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 305936400 is about 17491.0377050648. The cubic root of 305936400 is about 673.8197206761.

The spelling of 305936400 in words is "three hundred five million, nine hundred thirty-six thousand, four hundred".