380697408 has 336 divisors, whose sum is σ = 1397934720. Its totient is φ = 100030464.

The previous prime is 380697389. The next prime is 380697431. The reversal of 380697408 is 804796083.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415098 + ... + 1415366.

It is an arithmetic number, because the mean of its divisors is an integer number (4160520).

Almost surely, 2^380697408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380697408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698967360).

380697408 is an abundant number, since it is smaller than the sum of its proper divisors (1017237312).

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

380697408 is a wasteful number, since it uses less digits than its factorization.

380697408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 380697408 is about 19511.4686274509. The cubic root of 380697408 is about 724.7584818988.

The spelling of 380697408 in words is "three hundred eighty million, six hundred ninety-seven thousand, four hundred eight".