306809400 has 96 divisors (see below), whose sum is σ = 957461040. Its totient is φ = 81269760.

The previous prime is 306809329. The next prime is 306809407. The reversal of 306809400 is 4908603.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306809407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 92572 + ... + 95828.

Almost surely, 2^306809400 is an apocalyptic number.

306809400 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 306809400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478730520).

306809400 is an abundant number, since it is smaller than the sum of its proper divisors (650651640).

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

306809400 is a wasteful number, since it uses less digits than its factorization.

306809400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 306809400 is about 17515.9755651805. The cubic root of 306809400 is about 674.4600345628.

The spelling of 306809400 in words is "three hundred six million, eight hundred nine thousand, four hundred".