304464416 has 48 divisors (see below), whose sum is σ = 620438616. Its totient is φ = 146958336.

The previous prime is 304464403. The next prime is 304464421. The reversal of 304464416 is 614464403.

It can be written as a sum of positive squares in 4 ways, for example, as 303456400 + 1008016 = 17420^2 + 1004^2 .

It is a super-2 number, since 2×304464416² = 185397161220442112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161270 + ... + 163146.

Almost surely, 2^304464416 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 304464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310219308).

304464416 is an abundant number, since it is smaller than the sum of its proper divisors (315974200).

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

304464416 is a wasteful number, since it uses less digits than its factorization.

304464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 304464416 is about 17448.9087337862. The cubic root of 304464416 is about 672.7373095964.

The spelling of 304464416 in words is "three hundred four million, four hundred sixty-four thousand, four hundred sixteen".