403001968 has 20 divisors (see below), whose sum is σ = 789592320. Its totient is φ = 199236224.

The previous prime is 403001959. The next prime is 403001969. The reversal of 403001968 is 869100304.

It is a super-3 number, since 3×403001968³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403001969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140080 + ... + 142927.

It is an arithmetic number, because the mean of its divisors is an integer number (39479616).

Almost surely, 2^403001968 is an apocalyptic number.

It is an amenable number.

403001968 is a deficient number, since it is larger than the sum of its proper divisors (386590352).

403001968 is a wasteful number, since it uses less digits than its factorization.

403001968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283104 (or 283098 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 403001968 is about 20074.9089163563. The cubic root of 403001968 is about 738.6449318863.

The spelling of 403001968 in words is "four hundred three million, one thousand, nine hundred sixty-eight".