305358690 has 288 divisors, whose sum is σ = 1000883520. Its totient is φ = 58931712.

The previous prime is 305358679. The next prime is 305358707. The reversal of 305358690 is 96853503.

It is a super-2 number, since 2×305358690² = 186487859117032200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10529596 + ... + 10529624.

It is an arithmetic number, because the mean of its divisors is an integer number (3475290).

Almost surely, 2^305358690 is an apocalyptic number.

305358690 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 305358690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500441760).

305358690 is an abundant number, since it is smaller than the sum of its proper divisors (695524830).

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

305358690 is a wasteful number, since it uses less digits than its factorization.

305358690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 305358690 is about 17474.5154439258. The cubic root of 305358690 is about 673.3953212763.

The spelling of 305358690 in words is "three hundred five million, three hundred fifty-eight thousand, six hundred ninety".