384901504 has 128 divisors (see below), whose sum is σ = 879076800. Its totient is φ = 166526976.

The previous prime is 384901493. The next prime is 384901519. The reversal of 384901504 is 405109483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 384901504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3406152 + ... + 3406264.

Almost surely, 2^384901504 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 384901504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439538400).

384901504 is an abundant number, since it is smaller than the sum of its proper divisors (494175296).

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

384901504 is a wasteful number, since it uses less digits than its factorization.

384901504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 384901504 is about 19618.9067993097. The cubic root of 384901504 is about 727.4165917216.

The spelling of 384901504 in words is "three hundred eighty-four million, nine hundred one thousand, five hundred four".