403680384 has 96 divisors (see below), whose sum is σ = 1222837200. Its totient is φ = 127471104.

The previous prime is 403680379. The next prime is 403680443. The reversal of 403680384 is 483086304.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12667 + ... + 31109.

Almost surely, 2^403680384 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 403680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611418600).

403680384 is an abundant number, since it is smaller than the sum of its proper divisors (819156816).

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

403680384 is a wasteful number, since it uses less digits than its factorization.

403680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18482 (or 18467 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 403680384 is about 20091.7989239391. The cubic root of 403680384 is about 739.0591793366.

The spelling of 403680384 in words is "four hundred three million, six hundred eighty thousand, three hundred eighty-four".