303413220 has 144 divisors (see below), whose sum is σ = 1009374912. Its totient is φ = 73163520.

The previous prime is 303413219. The next prime is 303413221. The reversal of 303413220 is 22314303.

303413220 is a `hidden beast` number, since 3 + 0 + 341 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (303413219) and next prime (303413221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 303413193 and 303413202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303413221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579879 + ... + 580401.

It is an arithmetic number, because the mean of its divisors is an integer number (7009548).

Almost surely, 2^303413220 is an apocalyptic number.

303413220 is a gapful number since it is divisible by the number (30) 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 303413220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504687456).

303413220 is an abundant number, since it is smaller than the sum of its proper divisors (705961692).

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

303413220 is a wasteful number, since it uses less digits than its factorization.

303413220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 303413220 is about 17418.7605758848. The cubic root of 303413220 is about 671.9621843091.

Adding to 303413220 its reverse (22314303), we get a palindrome (325727523).

The spelling of 303413220 in words is "three hundred three million, four hundred thirteen thousand, two hundred twenty".