403989768 has 480 divisors, whose sum is σ = 1530524160. Its totient is φ = 97044480.

The previous prime is 403989767. The next prime is 403989821. The reversal of 403989768 is 867989304.

403989768 is a `hidden beast` number, since 403 + 98 + 97 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (403989767) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13031913 + ... + 13031943.

It is an arithmetic number, because the mean of its divisors is an integer number (3188592).

Almost surely, 2^403989768 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 403989768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765262080).

403989768 is an abundant number, since it is smaller than the sum of its proper divisors (1126534392).

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

403989768 is a wasteful number, since it uses less digits than its factorization.

403989768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 403989768 is about 20099.4967101169. The cubic root of 403989768 is about 739.2479381544.

The spelling of 403989768 in words is "four hundred three million, nine hundred eighty-nine thousand, seven hundred sixty-eight".