384267552 has 96 divisors (see below), whose sum is σ = 1068318720. Its totient is φ = 120602880.

The previous prime is 384267523. The next prime is 384267553. The reversal of 384267552 is 255762483.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (384267553) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347833 + ... + 348935.

It is an arithmetic number, because the mean of its divisors is an integer number (11128320).

Almost surely, 2^384267552 is an apocalyptic number.

384267552 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 384267552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534159360).

384267552 is an abundant number, since it is smaller than the sum of its proper divisors (684051168).

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

384267552 is a wasteful number, since it uses less digits than its factorization.

384267552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1318 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 384267552 is about 19602.7434814620. The cubic root of 384267552 is about 727.0170084449.

The spelling of 384267552 in words is "three hundred eighty-four million, two hundred sixty-seven thousand, five hundred fifty-two".