383606496 has 576 divisors, whose sum is σ = 1520285760. Its totient is φ = 92897280.

The previous prime is 383606473. The next prime is 383606521. The reversal of 383606496 is 694606383.

383606496 is a `hidden beast` number, since 38 + 3 + 606 + 4 + 9 + 6 = 666.

It is a super-3 number, since 3×383606496³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9356236 + ... + 9356276.

It is an arithmetic number, because the mean of its divisors is an integer number (2639385).

Almost surely, 2^383606496 is an apocalyptic number.

383606496 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 383606496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760142880).

383606496 is an abundant number, since it is smaller than the sum of its proper divisors (1136679264).

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

383606496 is a wasteful number, since it uses less digits than its factorization.

383606496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 383606496 is about 19585.8749102510. The cubic root of 383606496 is about 726.5998730328.

The spelling of 383606496 in words is "three hundred eighty-three million, six hundred six thousand, four hundred ninety-six".