383879040 has 256 divisors, whose sum is σ = 1365984000. Its totient is φ = 91127808.

The previous prime is 383878997. The next prime is 383879047. The reversal of 383879040 is 40978383.

It is a junction number, because it is equal to n+sod(n) for n = 383878983 and 383879001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383879047) 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, 619851 + ... + 620469.

It is an arithmetic number, because the mean of its divisors is an integer number (5335875).

Almost surely, 2^383879040 is an apocalyptic number.

383879040 is a gapful number since it is divisible by the number (30) 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 383879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682992000).

383879040 is an abundant number, since it is smaller than the sum of its proper divisors (982104960).

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

383879040 is a wasteful number, since it uses less digits than its factorization.

383879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 383879040 is about 19592.8313421006. The cubic root of 383879040 is about 726.7719100531.

The spelling of 383879040 in words is "three hundred eighty-three million, eight hundred seventy-nine thousand, forty".