384961000 has 32 divisors (see below), whose sum is σ = 900811080. Its totient is φ = 153984000.

The previous prime is 384960997. The next prime is 384961021. The reversal of 384961000 is 169483.

It can be written as a sum of positive squares in 4 ways, for example, as 54375876 + 330585124 = 7374^2 + 18182^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191481 + ... + 193480.

Almost surely, 2^384961000 is an apocalyptic number.

It is an amenable number.

384961000 is an abundant number, since it is smaller than the sum of its proper divisors (515850080).

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

384961000 is a wasteful number, since it uses less digits than its factorization.

384961000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384982 (or 384968 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 384961000 is about 19620.4230331560. The cubic root of 384961000 is about 727.4540698360.

The spelling of 384961000 in words is "three hundred eighty-four million, nine hundred sixty-one thousand".