306904416 has 288 divisors, whose sum is σ = 1068560640. Its totient is φ = 74898432.

The previous prime is 306904391. The next prime is 306904447. The reversal of 306904416 is 614409603.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 7137291 + ... + 7137333.

It is an arithmetic number, because the mean of its divisors is an integer number (3710280).

Almost surely, 2^306904416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306904416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534280320).

306904416 is an abundant number, since it is smaller than the sum of its proper divisors (761656224).

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

306904416 is a wasteful number, since it uses less digits than its factorization.

306904416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 306904416 is about 17518.6876220795. The cubic root of 306904416 is about 674.5296520303.

The spelling of 306904416 in words is "three hundred six million, nine hundred four thousand, four hundred sixteen".