384306957 has 8 divisors (see below), whose sum is σ = 569343680. Its totient is φ = 256204620.

The previous prime is 384306941. The next prime is 384306961. The reversal of 384306957 is 759603483.

It is not a de Polignac number, because 384306957 - 2⁴ = 384306941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384306257) 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, 7116769 + ... + 7116822.

It is an arithmetic number, because the mean of its divisors is an integer number (71167960).

Almost surely, 2^384306957 is an apocalyptic number.

It is an amenable number.

384306957 is a deficient number, since it is larger than the sum of its proper divisors (185036723).

384306957 is a wasteful number, since it uses less digits than its factorization.

384306957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14233600 (or 14233594 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 384306957 is about 19603.7485446024. The cubic root of 384306957 is about 727.0418584275.

The spelling of 384306957 in words is "three hundred eighty-four million, three hundred six thousand, nine hundred fifty-seven".