403800768 has 336 divisors, whose sum is σ = 1459382400. Its totient is φ = 108864000.

The previous prime is 403800767. The next prime is 403800769. The reversal of 403800768 is 867008304.

It is an interprime number because it is at equal distance from previous prime (403800767) and next prime (403800769).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (403800763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1608643 + ... + 1608893.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^403800768 is an apocalyptic number.

403800768 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 403800768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729691200).

403800768 is an abundant number, since it is smaller than the sum of its proper divisors (1055581632).

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

403800768 is a wasteful number, since it uses less digits than its factorization.

403800768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 403800768 is about 20094.7945498330. The cubic root of 403800768 is about 739.1326384898.

The spelling of 403800768 in words is "four hundred three million, eight hundred thousand, seven hundred sixty-eight".