384965952 has 336 divisors, whose sum is σ = 1313444160. Its totient is φ = 98746368.

The previous prime is 384965951. The next prime is 384965953. The reversal of 384965952 is 259569483.

It is an interprime number because it is at equal distance from previous prime (384965951) and next prime (384965953).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 384965895 and 384965904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384965951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4638103 + ... + 4638185.

It is an arithmetic number, because the mean of its divisors is an integer number (3909060).

Almost surely, 2^384965952 is an apocalyptic number.

384965952 is a gapful number since it is divisible by the number (32) 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 384965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656722080).

384965952 is an abundant number, since it is smaller than the sum of its proper divisors (928478208).

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

384965952 is a wasteful number, since it uses less digits than its factorization.

384965952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 384965952 is about 19620.5492277867. The cubic root of 384965952 is about 727.4571890586.

The spelling of 384965952 in words is "three hundred eighty-four million, nine hundred sixty-five thousand, nine hundred fifty-two".