384936957 has 24 divisors (see below), whose sum is σ = 569315448. Its totient is φ = 250560000.

The previous prime is 384936953. The next prime is 384936973. The reversal of 384936957 is 759639483.

It can be written as a sum of positive squares in 4 ways, for example, as 288524196 + 96412761 = 16986^2 + 9819^2 .

It is not a de Polignac number, because 384936957 - 2² = 384936953 is a prime.

It is a super-3 number, since 3×384936957³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384936953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63457 + ... + 69257.

It is an arithmetic number, because the mean of its divisors is an integer number (23721477).

Almost surely, 2^384936957 is an apocalyptic number.

It is an amenable number.

384936957 is a deficient number, since it is larger than the sum of its proper divisors (184378491).

384936957 is a wasteful number, since it uses less digits than its factorization.

384936957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5981 (or 5978 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 384936957 is about 19619.8103201840. The cubic root of 384936957 is about 727.4389249752.

The spelling of 384936957 in words is "three hundred eighty-four million, nine hundred thirty-six thousand, nine hundred fifty-seven".