305126406 has 128 divisors (see below), whose sum is σ = 762048000. Its totient is φ = 89900928.

The previous prime is 305126389. The next prime is 305126413. The reversal of 305126406 is 604621503.

305126406 is a `hidden beast` number, since 3 + 0 + 5 + 12 + 640 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 305126406.

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, 2195085 + ... + 2195223.

It is an arithmetic number, because the mean of its divisors is an integer number (5953500).

Almost surely, 2^305126406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305126406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381024000).

305126406 is an abundant number, since it is smaller than the sum of its proper divisors (456921594).

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

305126406 is a wasteful number, since it uses less digits than its factorization.

305126406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 305126406 is about 17467.8678149338. The cubic root of 305126406 is about 673.2245290868.

Adding to 305126406 its reverse (604621503), we get a palindrome (909747909).

The spelling of 305126406 in words is "three hundred five million, one hundred twenty-six thousand, four hundred six".