384225408 has 384 divisors, whose sum is σ = 1374796800. Its totient is φ = 100638720.

The previous prime is 384225407. The next prime is 384225431. The reversal of 384225408 is 804522483.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384225403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7249510 + ... + 7249562.

It is an arithmetic number, because the mean of its divisors is an integer number (3580200).

Almost surely, 2^384225408 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 384225408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687398400).

384225408 is an abundant number, since it is smaller than the sum of its proper divisors (990571392).

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

384225408 is a wasteful number, since it uses less digits than its factorization.

384225408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 384225408 is about 19601.6685004109. The cubic root of 384225408 is about 726.9904292860.

The spelling of 384225408 in words is "three hundred eighty-four million, two hundred twenty-five thousand, four hundred eight".