403638768 has 160 divisors (see below), whose sum is σ = 1278876480. Its totient is φ = 121098240.

The previous prime is 403638761. The next prime is 403638779. The reversal of 403638768 is 867836304.

403638768 is a `hidden beast` number, since 4 + 0 + 3 + 638 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403638761) 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, 229380 + ... + 231132.

It is an arithmetic number, because the mean of its divisors is an integer number (7992978).

Almost surely, 2^403638768 is an apocalyptic number.

403638768 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 403638768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639438240).

403638768 is an abundant number, since it is smaller than the sum of its proper divisors (875237712).

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

403638768 is a wasteful number, since it uses less digits than its factorization.

403638768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 403638768 is about 20090.7632508076. The cubic root of 403638768 is about 739.0337815673.

The spelling of 403638768 in words is "four hundred three million, six hundred thirty-eight thousand, seven hundred sixty-eight".