309868416 has 480 divisors, whose sum is σ = 1149040200. Its totient is φ = 82114560.

The previous prime is 309868411. The next prime is 309868421. The reversal of 309868416 is 614868903.

It is an interprime number because it is at equal distance from previous prime (309868411) and next prime (309868421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309868411) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16308855 + ... + 16308873.

Almost surely, 2^309868416 is an apocalyptic number.

309868416 is a gapful number since it is divisible by the number (36) 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 309868416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574520100).

309868416 is an abundant number, since it is smaller than the sum of its proper divisors (839171784).

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

309868416 is a wasteful number, since it uses less digits than its factorization.

309868416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 309868416 is about 17603.0797305472. The cubic root of 309868416 is about 676.6941738867.

The spelling of 309868416 in words is "three hundred nine million, eight hundred sixty-eight thousand, four hundred sixteen".