384951552 has 288 divisors, whose sum is σ = 1193041920. Its totient is φ = 109486080.

The previous prime is 384951551. The next prime is 384951601. The reversal of 384951552 is 255159483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384951551) 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 31 ways as a sum of consecutive naturals, for example, 10404078 + ... + 10404114.

Almost surely, 2^384951552 is an apocalyptic number.

384951552 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 384951552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596520960).

384951552 is an abundant number, since it is smaller than the sum of its proper divisors (808090368).

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

384951552 is a wasteful number, since it uses less digits than its factorization.

384951552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its digits is 216000, while the sum is 42.

The square root of 384951552 is about 19620.1822621504. The cubic root of 384951552 is about 727.4481185472.

The spelling of 384951552 in words is "three hundred eighty-four million, nine hundred fifty-one thousand, five hundred fifty-two".