384358401 has 36 divisors (see below), whose sum is σ = 649910352. Its totient is φ = 218245104.

The previous prime is 384358399. The next prime is 384358417. The reversal of 384358401 is 104853483.

384358401 is a `hidden beast` number, since 38 + 43 + 584 + 0 + 1 = 666.

It is not a de Polignac number, because 384358401 - 2¹ = 384358399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (384358441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69210 + ... + 74556.

Almost surely, 2^384358401 is an apocalyptic number.

It is an amenable number.

384358401 is a deficient number, since it is larger than the sum of its proper divisors (265551951).

384358401 is a wasteful number, since it uses less digits than its factorization.

384358401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5530 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 384358401 is about 19605.0605966929. The cubic root of 384358401 is about 727.0742980108.

The spelling of 384358401 in words is "three hundred eighty-four million, three hundred fifty-eight thousand, four hundred one".