384359400 has 72 divisors (see below), whose sum is σ = 1290813030. Its totient is φ = 102495360.

The previous prime is 384359399. The next prime is 384359407. The reversal of 384359400 is 4953483.

It can be written as a sum of positive squares in 3 ways, for example, as 268107876 + 116251524 = 16374^2 + 10782^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (384359407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104967 + ... + 108566.

Almost surely, 2^384359400 is an apocalyptic number.

384359400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384359400 is an abundant number, since it is smaller than the sum of its proper divisors (906453630).

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

384359400 is a wasteful number, since it uses less digits than its factorization.

384359400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213555 (or 213543 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 384359400 is about 19605.0860747919. The cubic root of 384359400 is about 727.0749279321.

The spelling of 384359400 in words is "three hundred eighty-four million, three hundred fifty-nine thousand, four hundred".