306401472 has 336 divisors, whose sum is σ = 1048451040. Its totient is φ = 84639744.

The previous prime is 306401441. The next prime is 306401567. The reversal of 306401472 is 274104603.

306401472 is a `hidden beast` number, since 3 + 0 + 640 + 14 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3691543 + ... + 3691625.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2^306401472 is an apocalyptic number.

306401472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 306401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524225520).

306401472 is an abundant number, since it is smaller than the sum of its proper divisors (742049568).

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

306401472 is a wasteful number, since it uses less digits than its factorization.

306401472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 306401472 is about 17504.3272364293. The cubic root of 306401472 is about 674.1609855337.

The spelling of 306401472 in words is "three hundred six million, four hundred one thousand, four hundred seventy-two".