305152164 has 96 divisors (see below), whose sum is σ = 816480000. Its totient is φ = 98512128.

The previous prime is 305152163. The next prime is 305152187. The reversal of 305152164 is 461251503.

305152164 is a `hidden beast` number, since 30 + 51 + 521 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (305152163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509137 + ... + 509735.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2^305152164 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 305152164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240000).

305152164 is an abundant number, since it is smaller than the sum of its proper divisors (511327836).

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

305152164 is a wasteful number, since it uses less digits than its factorization.

305152164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 305152164 is about 17468.6050960001. The cubic root of 305152164 is about 673.2434725248.

The spelling of 305152164 in words is "three hundred five million, one hundred fifty-two thousand, one hundred sixty-four".