305920152 has 160 divisors (see below), whose sum is σ = 899310720. Its totient is φ = 97044480.

The previous prime is 305920141. The next prime is 305920157. The reversal of 305920152 is 251029503.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305920157) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1948458 + ... + 1948614.

It is an arithmetic number, because the mean of its divisors is an integer number (5620692).

Almost surely, 2^305920152 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 305920152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449655360).

305920152 is an abundant number, since it is smaller than the sum of its proper divisors (593390568).

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

305920152 is a wasteful number, since it uses less digits than its factorization.

305920152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 305920152 is about 17490.5732324587. The cubic root of 305920152 is about 673.8077918170.

Adding to 305920152 its reverse (251029503), we get a palindrome (556949655).

The spelling of 305920152 in words is "three hundred five million, nine hundred twenty thousand, one hundred fifty-two".