403896768 has 168 divisors, whose sum is σ = 1210665600. Its totient is φ = 117849600.

The previous prime is 403896749. The next prime is 403896793. The reversal of 403896768 is 867698304.

It is a self number, because there is not a number n which added to its sum of digits gives 403896768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2029533 + ... + 2029731.

Almost surely, 2^403896768 is an apocalyptic number.

403896768 is a gapful number since it is divisible by the number (48) 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 403896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605332800).

403896768 is an abundant number, since it is smaller than the sum of its proper divisors (806768832).

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

403896768 is a wasteful number, since it uses less digits than its factorization.

403896768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 403896768 is about 20097.1830861939. The cubic root of 403896768 is about 739.1912078938.

The spelling of 403896768 in words is "four hundred three million, eight hundred ninety-six thousand, seven hundred sixty-eight".