384553152 has 84 divisors (see below), whose sum is σ = 1106130376. Its totient is φ = 127733760.

The previous prime is 384553121. The next prime is 384553163. The reversal of 384553152 is 251355483.

384553152 is a `hidden beast` number, since 38 + 45 + 531 + 52 = 666.

It is a super-2 number, since 2×384553152² = 295762253426270208, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189648 + ... + 191664.

Almost surely, 2^384553152 is an apocalyptic number.

384553152 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 384553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553065188).

384553152 is an abundant number, since it is smaller than the sum of its proper divisors (721577224).

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

384553152 is a wasteful number, since it uses less digits than its factorization.

384553152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2353 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 384553152 is about 19610.0268230311. The cubic root of 384553152 is about 727.1970779799.

It can be divided in two parts, 384 and 553152, that added together give a square (553536 = 744²).

The spelling of 384553152 in words is "three hundred eighty-four million, five hundred fifty-three thousand, one hundred fifty-two".