305472960 has 336 divisors, whose sum is σ = 1164945600. Its totient is φ = 72990720.

The previous prime is 305472943. The next prime is 305472991. The reversal of 305472960 is 69274503.

305472960 is a `hidden beast` number, since 30 + 547 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1534941 + ... + 1535139.

It is an arithmetic number, because the mean of its divisors is an integer number (3467100).

Almost surely, 2^305472960 is an apocalyptic number.

305472960 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 305472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582472800).

305472960 is an abundant number, since it is smaller than the sum of its proper divisors (859472640).

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

305472960 is a wasteful number, since it uses less digits than its factorization.

305472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 305472960 is about 17477.7847566561. The cubic root of 305472960 is about 673.4793091561.

The spelling of 305472960 in words is "three hundred five million, four hundred seventy-two thousand, nine hundred sixty".