384292980 has 36 divisors (see below), whose sum is σ = 1165689252. Its totient is φ = 102478080.

The previous prime is 384292943. The next prime is 384292991. The reversal of 384292980 is 89292483.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 327682404 = 7524^2 + 18102^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1067301 + ... + 1067660.

It is an arithmetic number, because the mean of its divisors is an integer number (32380257).

Almost surely, 2^384292980 is an apocalyptic number.

384292980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384292980 is an abundant number, since it is smaller than the sum of its proper divisors (781396272).

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

384292980 is a wasteful number, since it uses less digits than its factorization.

384292980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134976 (or 2134971 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 384292980 is about 19603.3920534177. The cubic root of 384292980 is about 727.0330443038.

The spelling of 384292980 in words is "three hundred eighty-four million, two hundred ninety-two thousand, nine hundred eighty".