306872496 has 320 divisors, whose sum is σ = 1091200000. Its totient is φ = 82301184.

The previous prime is 306872473. The next prime is 306872507. The reversal of 306872496 is 694278603.

306872496 is a `hidden beast` number, since 30 + 68 + 72 + 496 = 666.

It is a super-3 number, since 3×306872496³ (a number of 26 digits) contains 333 as substring.

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, 2815290 + ... + 2815398.

It is an arithmetic number, because the mean of its divisors is an integer number (3410000).

Almost surely, 2^306872496 is an apocalyptic number.

306872496 is a gapful number since it is divisible by the number (36) 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 306872496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545600000).

306872496 is an abundant number, since it is smaller than the sum of its proper divisors (784327504).

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

306872496 is a wasteful number, since it uses less digits than its factorization.

306872496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 306872496 is about 17517.7765712433. The cubic root of 306872496 is about 674.5062661031.

The spelling of 306872496 in words is "three hundred six million, eight hundred seventy-two thousand, four hundred ninety-six".