380008507 has 8 divisors (see below), whose sum is σ = 396725760. Its totient is φ = 363307560.

The previous prime is 380008487. The next prime is 380008529. The reversal of 380008507 is 705800083.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 380008507 - 2¹⁹ = 379484219 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (380008597) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90382 + ... + 94492.

It is an arithmetic number, because the mean of its divisors is an integer number (49590720).

Almost surely, 2^380008507 is an apocalyptic number.

380008507 is a deficient number, since it is larger than the sum of its proper divisors (16717253).

380008507 is a wasteful number, since it uses less digits than its factorization.

380008507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8153.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 380008507 is about 19493.8068883428. The cubic root of 380008507 is about 724.3210493505.

The spelling of 380008507 in words is "three hundred eighty million, eight thousand, five hundred seven".