305949000 has 256 divisors, whose sum is σ = 1156446720. Its totient is φ = 65740800.

The previous prime is 305948989. The next prime is 305949023. The reversal of 305949000 is 949503.

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

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, 356572 + ... + 357428.

It is an arithmetic number, because the mean of its divisors is an integer number (4517370).

Almost surely, 2^305949000 is an apocalyptic number.

305949000 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 305949000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578223360).

305949000 is an abundant number, since it is smaller than the sum of its proper divisors (850497720).

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

305949000 is a wasteful number, since it uses less digits than its factorization.

305949000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 305949000 is about 17491.3978858180. The cubic root of 305949000 is about 673.8289709777.

The spelling of 305949000 in words is "three hundred five million, nine hundred forty-nine thousand".