305774040 has 256 divisors, whose sum is σ = 1094446080. Its totient is φ = 67368960.

The previous prime is 305774033. The next prime is 305774069. The reversal of 305774040 is 40477503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 305773989 and 305774007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1767394 + ... + 1767566.

It is an arithmetic number, because the mean of its divisors is an integer number (4275180).

Almost surely, 2^305774040 is an apocalyptic number.

305774040 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 305774040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547223040).

305774040 is an abundant number, since it is smaller than the sum of its proper divisors (788672040).

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

305774040 is a wasteful number, since it uses less digits than its factorization.

305774040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 305774040 is about 17486.3958550640. The cubic root of 305774040 is about 673.7005012037.

The spelling of 305774040 in words is "three hundred five million, seven hundred seventy-four thousand, forty".