384607407 has 8 divisors (see below), whose sum is σ = 512978176. Its totient is φ = 256320792.

The previous prime is 384607397. The next prime is 384607409. The reversal of 384607407 is 704706483.

It is a happy number.

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

It is not a de Polignac number, because 384607407 - 2⁸ = 384607151 is a prime.

It is a super-3 number, since 3×384607407³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384607409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9463 + ... + 29304.

It is an arithmetic number, because the mean of its divisors is an integer number (64122272).

Almost surely, 2^384607407 is an apocalyptic number.

384607407 is a deficient number, since it is larger than the sum of its proper divisors (128370769).

384607407 is a wasteful number, since it uses less digits than its factorization.

384607407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42077.

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 384607407 is about 19611.4101226811. The cubic root of 384607407 is about 727.2312754391.

The spelling of 384607407 in words is "three hundred eighty-four million, six hundred seven thousand, four hundred seven".