384533280 has 72 divisors (see below), whose sum is σ = 1312224732. Its totient is φ = 102541824.

The previous prime is 384533249. The next prime is 384533287. The reversal of 384533280 is 82335483.

It can be written as a sum of positive squares in 2 ways, for example, as 368179344 + 16353936 = 19188^2 + 4044^2 .

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 (384533287) 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 11 ways as a sum of consecutive naturals, for example, 132079 + ... + 134958.

Almost surely, 2^384533280 is an apocalyptic number.

384533280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384533280 is an abundant number, since it is smaller than the sum of its proper divisors (927691452).

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

384533280 is a wasteful number, since it uses less digits than its factorization.

384533280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267058 (or 267047 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 384533280 is about 19609.5201369131. The cubic root of 384533280 is about 727.1845516584.

The spelling of 384533280 in words is "three hundred eighty-four million, five hundred thirty-three thousand, two hundred eighty".