380403408 has 160 divisors (see below), whose sum is σ = 1289917440. Its totient is φ = 93588480.

The previous prime is 380403403. The next prime is 380403467. The reversal of 380403408 is 804304083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380403403) 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, 67516 + ... + 72932.

It is an arithmetic number, because the mean of its divisors is an integer number (8061984).

Almost surely, 2^380403408 is an apocalyptic number.

380403408 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 380403408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644958720).

380403408 is an abundant number, since it is smaller than the sum of its proper divisors (909514032).

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

380403408 is a wasteful number, since it uses less digits than its factorization.

380403408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5465 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 380403408 is about 19503.9331418050. The cubic root of 380403408 is about 724.5718648603.

The spelling of 380403408 in words is "three hundred eighty million, four hundred three thousand, four hundred eight".