384657408 has 144 divisors (see below), whose sum is σ = 1140293700. Its totient is φ = 124846080.

The previous prime is 384657401. The next prime is 384657409. The reversal of 384657408 is 804756483.

384657408 is a `hidden beast` number, since 38 + 46 + 574 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 379782144 + 4875264 = 19488^2 + 2208^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×384657408² = 295922643058556928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (384657401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755458 + ... + 755966.

Almost surely, 2^384657408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384657408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570146850).

384657408 is an abundant number, since it is smaller than the sum of its proper divisors (755636292).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

384657408 is a wasteful number, since it uses less digits than its factorization.

384657408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 384657408 is about 19612.6848748457. The cubic root of 384657408 is about 727.2627887127.

The spelling of 384657408 in words is "three hundred eighty-four million, six hundred fifty-seven thousand, four hundred eight".