384901920 has 288 divisors, whose sum is σ = 1465354800. Its totient is φ = 91348992.

The previous prime is 384901919. The next prime is 384901931. The reversal of 384901920 is 29109483.

384901920 is a `hidden beast` number, since 384 + 90 + 192 + 0 = 666.

384901920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 39388176 + 345513744 = 6276^2 + 18588^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542526 + ... + 543234.

Almost surely, 2^384901920 is an apocalyptic number.

384901920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384901920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732677400).

384901920 is an abundant number, since it is smaller than the sum of its proper divisors (1080452880).

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

384901920 is a wasteful number, since it uses less digits than its factorization.

384901920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 384901920 is about 19618.9174013247. The cubic root of 384901920 is about 727.4168537845.

The spelling of 384901920 in words is "three hundred eighty-four million, nine hundred one thousand, nine hundred twenty".