305425890 has 320 divisors, whose sum is σ = 1053803520. Its totient is φ = 61637760.

The previous prime is 305425877. The next prime is 305425891. The reversal of 305425890 is 98524503.

305425890 is a `hidden beast` number, since 30 + 5 + 42 + 589 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305425891) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3679789 + ... + 3679871.

It is an arithmetic number, because the mean of its divisors is an integer number (3293136).

Almost surely, 2^305425890 is an apocalyptic number.

305425890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305425890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526901760).

305425890 is an abundant number, since it is smaller than the sum of its proper divisors (748377630).

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

305425890 is a wasteful number, since it uses less digits than its factorization.

305425890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 305425890 is about 17476.4381382477. The cubic root of 305425890 is about 673.4447154783. Note that the first 3 decimals are identical.

The spelling of 305425890 in words is "three hundred five million, four hundred twenty-five thousand, eight hundred ninety".