306601469928 has 192 divisors, whose sum is σ = 959831767440. Its totient is φ = 87572938752.

The previous prime is 306601469917. The next prime is 306601469929. The reversal of 306601469928 is 829964106603.

306601469928 is a `hidden beast` number, since 3 + 0 + 6 + 601 + 4 + 6 + 9 + 9 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 245958467364 + 60643002564 = 495942^2 + 246258^2 .

It is a super-2 number, since 2×306601469928² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (306601469929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029600 + ... + 1293552.

Almost surely, 2^306601469928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306601469928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479915883720).

306601469928 is an abundant number, since it is smaller than the sum of its proper divisors (653230297512).

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

306601469928 is a wasteful number, since it uses less digits than its factorization.

306601469928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264068 (or 264061 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 306601469928 in words is "three hundred six billion, six hundred one million, four hundred sixty-nine thousand, nine hundred twenty-eight".