305470944 has 72 divisors (see below), whose sum is σ = 873846792. Its totient is φ = 101218560.

The previous prime is 305470937. The next prime is 305470967. The reversal of 305470944 is 449074503.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×305470944² = 186624995256502272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 305470899 and 305470908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46759 + ... + 52889.

It is an arithmetic number, because the mean of its divisors is an integer number (12136761).

Almost surely, 2^305470944 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 305470944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436923396).

305470944 is an abundant number, since it is smaller than the sum of its proper divisors (568375848).

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

305470944 is a wasteful number, since it uses less digits than its factorization.

305470944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6320 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 305470944 is about 17477.7270833481. The cubic root of 305470944 is about 673.4778275877.

The spelling of 305470944 in words is "three hundred five million, four hundred seventy thousand, nine hundred forty-four".