307441420 has 72 divisors (see below), whose sum is σ = 762758640. Its totient is φ = 103184640.

The previous prime is 307441417. The next prime is 307441423. The reversal of 307441420 is 24144703.

It is an interprime number because it is at equal distance from previous prime (307441417) and next prime (307441423).

It is not an unprimeable number, because it can be changed into a prime (307441423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33046 + ... + 41314.

It is an arithmetic number, because the mean of its divisors is an integer number (10593870).

Almost surely, 2^307441420 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 307441420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381379320).

307441420 is an abundant number, since it is smaller than the sum of its proper divisors (455317220).

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

307441420 is a wasteful number, since it uses less digits than its factorization.

307441420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8315 (or 8300 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 307441420 is about 17534.0075282292. The cubic root of 307441420 is about 674.9228407459.

The spelling of 307441420 in words is "three hundred seven million, four hundred forty-one thousand, four hundred twenty".