388447407 has 48 divisors (see below), whose sum is σ = 602714112. Its totient is φ = 249842880.

The previous prime is 388447393. The next prime is 388447421. The reversal of 388447407 is 704744883.

It is an interprime number because it is at equal distance from previous prime (388447393) and next prime (388447421).

It is not a de Polignac number, because 388447407 - 2¹⁸ = 388185263 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (388447447) 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, 1265148 + ... + 1265454.

It is an arithmetic number, because the mean of its divisors is an integer number (12556544).

Almost surely, 2^388447407 is an apocalyptic number.

388447407 is a deficient number, since it is larger than the sum of its proper divisors (214266705).

388447407 is a wasteful number, since it uses less digits than its factorization.

388447407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 388447407 is about 19709.0691561017. The cubic root of 388447407 is about 729.6435408626.

The spelling of 388447407 in words is "three hundred eighty-eight million, four hundred forty-seven thousand, four hundred seven".