306074440 has 128 divisors (see below), whose sum is σ = 810777600. Its totient is φ = 101836800.

The previous prime is 306074437. The next prime is 306074453. The reversal of 306074440 is 44470603.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 306074399 and 306074408.

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 31 ways as a sum of consecutive naturals, for example, 2234052 + ... + 2234188.

It is an arithmetic number, because the mean of its divisors is an integer number (6334200).

Almost surely, 2^306074440 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 306074440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405388800).

306074440 is an abundant number, since it is smaller than the sum of its proper divisors (504703160).

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

306074440 is a wasteful number, since it uses less digits than its factorization.

306074440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 306074440 is about 17494.9832809294. The cubic root of 306074440 is about 673.9210490222.

The spelling of 306074440 in words is "three hundred six million, seventy-four thousand, four hundred forty".