305745440 has 384 divisors, whose sum is σ = 1024192512. Its totient is φ = 83128320.

The previous prime is 305745431. The next prime is 305745443. The reversal of 305745440 is 44547503.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 305745397 and 305745406.

It is not an unprimeable number, because it can be changed into a prime (305745443) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3683639 + ... + 3683721.

It is an arithmetic number, because the mean of its divisors is an integer number (2667168).

Almost surely, 2^305745440 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 305745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512096256).

305745440 is an abundant number, since it is smaller than the sum of its proper divisors (718447072).

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

305745440 is a wasteful number, since it uses less digits than its factorization.

305745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 32.

The square root of 305745440 is about 17485.5780573592. The cubic root of 305745440 is about 673.6794961122.

The spelling of 305745440 in words is "three hundred five million, seven hundred forty-five thousand, four hundred forty".