306860400 has 720 divisors, whose sum is σ = 1410409728. Its totient is φ = 62208000.

The previous prime is 306860371. The next prime is 306860401. The reversal of 306860400 is 4068603.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306860401) 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 143 ways as a sum of consecutive naturals, for example, 7484380 + ... + 7484420.

Almost surely, 2^306860400 is an apocalyptic number.

306860400 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 306860400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705204864).

306860400 is an abundant number, since it is smaller than the sum of its proper divisors (1103549328).

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

306860400 is a wasteful number, since it uses less digits than its factorization.

306860400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 306860400 is about 17517.4313185467. The cubic root of 306860400 is about 674.4974036438.

The spelling of 306860400 in words is "three hundred six million, eight hundred sixty thousand, four hundred".