306416435904 has 168 divisors, whose sum is σ = 890417848320. Its totient is φ = 100732442112.

The previous prime is 306416435873. The next prime is 306416435909. The reversal of 306416435904 is 409534614603.

306416435904 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 16 + 43 + 590 + 4 = 666.

It is a super-2 number, since 2×306416435904² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 306416435904.

It is not an unprimeable number, because it can be changed into a prime (306416435909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29014177 + ... + 29024735.

It is an arithmetic number, because the mean of its divisors is an integer number (5300106240).

Almost surely, 2^306416435904 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 306416435904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445208924160).

306416435904 is an abundant number, since it is smaller than the sum of its proper divisors (584001412416).

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

306416435904 is a wasteful number, since it uses less digits than its factorization.

306416435904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11267 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 306416435904 in words is "three hundred six billion, four hundred sixteen million, four hundred thirty-five thousand, nine hundred four".