305073216 has 210 divisors, whose sum is σ = 1052854638. Its totient is φ = 87091200.

The previous prime is 305073203. The next prime is 305073229. The reversal of 305073216 is 612370503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (305073203) and next prime (305073229).

It can be written as a sum of positive squares in only one way, i.e., 158760000 + 146313216 = 12600^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 305073216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253416 + ... + 254616.

Almost surely, 2^305073216 is an apocalyptic number.

305073216 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 305073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526427319).

305073216 is an abundant number, since it is smaller than the sum of its proper divisors (747781422).

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

305073216 is a wasteful number, since it uses less digits than its factorization.

305073216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 305073216 is about 17466.3452387728. The cubic root of 305073216 is about 673.1854077118.

The spelling of 305073216 in words is "three hundred five million, seventy-three thousand, two hundred sixteen".