380414808 has 192 divisors, whose sum is σ = 1153152000. Its totient is φ = 112783104.

The previous prime is 380414803. The next prime is 380414809. The reversal of 380414808 is 808414083.

It is a super-2 number, since 2×380414808² = 289430852291353728, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380414803) 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, 1705785 + ... + 1706007.

It is an arithmetic number, because the mean of its divisors is an integer number (6006000).

Almost surely, 2^380414808 is an apocalyptic number.

380414808 is a gapful number since it is divisible by the number (38) 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 380414808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576576000).

380414808 is an abundant number, since it is smaller than the sum of its proper divisors (772737192).

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

380414808 is a wasteful number, since it uses less digits than its factorization.

380414808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 380414808 is about 19504.2253883614. The cubic root of 380414808 is about 724.5791028228.

It can be divided in two parts, 38041 and 4808, that added together give a square (42849 = 207²).

The spelling of 380414808 in words is "three hundred eighty million, four hundred fourteen thousand, eight hundred eight".