384552100 has 81 divisors (see below), whose sum is σ = 874128297. Its totient is φ = 146839680.

The previous prime is 384552097. The next prime is 384552107. The reversal of 384552100 is 1255483.

The square root of 384552100 is 19610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 22335076 + 362217024 = 4726^2 + 19032^2 .

It is a super-2 number, since 2×384552100² = 295760635228820000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (384552107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7255674 + ... + 7255726.

Almost surely, 2^384552100 is an apocalyptic number.

384552100 is the 19610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 384552100

384552100 is an abundant number, since it is smaller than the sum of its proper divisors (489576197).

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

384552100 is a wasteful number, since it uses less digits than its factorization.

384552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The cubic root of 384552100 is about 727.1964148622.

It can be divided in two parts, 3845 and 52100, that added together give a triangular number (55945 = T₃₃₄).

The spelling of 384552100 in words is "three hundred eighty-four million, five hundred fifty-two thousand, one hundred".