384461952 has 128 divisors (see below), whose sum is σ = 1173571200. Its totient is φ = 109240320.

The previous prime is 384461939. The next prime is 384461963. The reversal of 384461952 is 259164483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 755074 + ... + 755582.

It is an arithmetic number, because the mean of its divisors is an integer number (9168525).

Almost surely, 2^384461952 is an apocalyptic number.

384461952 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 384461952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586785600).

384461952 is an abundant number, since it is smaller than the sum of its proper divisors (789109248).

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

384461952 is a wasteful number, since it uses less digits than its factorization.

384461952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 802 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 384461952 is about 19607.7013441148. The cubic root of 384461952 is about 727.1395864761.

The spelling of 384461952 in words is "three hundred eighty-four million, four hundred sixty-one thousand, nine hundred fifty-two".