303385940 has 192 divisors, whose sum is σ = 797948928. Its totient is φ = 95385600.

The previous prime is 303385931. The next prime is 303385949. The reversal of 303385940 is 49583303.

303385940 = T₁ + T₂ + ... + T₁₂₂₀.

303385940 is a nontrivial binomial coefficient, being equal to C(1222, 3).

It is an interprime number because it is at equal distance from previous prime (303385931) and next prime (303385949).

It is a self number, because there is not a number n which added to its sum of digits gives 303385940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303385949) by changing a digit.

It is the 1220-th tetrahedral number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4973510 + ... + 4973570.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2^303385940 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 303385940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398974464).

303385940 is an abundant number, since it is smaller than the sum of its proper divisors (494562988).

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

303385940 is a wasteful number, since it uses less digits than its factorization.

303385940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 303385940 is about 17417.9774945313. The cubic root of 303385940 is about 671.9420449122.

The spelling of 303385940 in words is "three hundred three million, three hundred eighty-five thousand, nine hundred forty".