305364416 has 56 divisors (see below), whose sum is σ = 694456320. Its totient is φ = 130505472.

The previous prime is 305364413. The next prime is 305364419. The reversal of 305364416 is 614463503.

It is an interprime number because it is at equal distance from previous prime (305364413) and next prime (305364419).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×305364416³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305364413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213881 + ... + 215303.

Almost surely, 2^305364416 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 305364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347228160).

305364416 is an abundant number, since it is smaller than the sum of its proper divisors (389091904).

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

305364416 is a wasteful number, since it uses less digits than its factorization.

305364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 305364416 is about 17474.6792817494. The cubic root of 305364416 is about 673.3995303564.

The spelling of 305364416 in words is "three hundred five million, three hundred sixty-four thousand, four hundred sixteen".