403999968 has 192 divisors, whose sum is σ = 1201858560. Its totient is φ = 118136832.

The previous prime is 403999961. The next prime is 403999969. The reversal of 403999968 is 869999304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403999961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764078 + ... + 1764306.

It is an arithmetic number, because the mean of its divisors is an integer number (6259680).

Almost surely, 2^403999968 is an apocalyptic number.

403999968 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 403999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600929280).

403999968 is an abundant number, since it is smaller than the sum of its proper divisors (797858592).

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

403999968 is a wasteful number, since it uses less digits than its factorization.

403999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 57.

The square root of 403999968 is about 20099.7504462120. The cubic root of 403999968 is about 739.2541596531.

The spelling of 403999968 in words is "four hundred three million, nine hundred ninety-nine thousand, nine hundred sixty-eight".