384982290 has 192 divisors, whose sum is σ = 1266700032. Its totient is φ = 78796800.

The previous prime is 384982271. The next prime is 384982291. The reversal of 384982290 is 92289483.

384982290 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×384982290² = 296422727227288200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (384982291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 505510 + ... + 506270.

It is an arithmetic number, because the mean of its divisors is an integer number (6597396).

Almost surely, 2^384982290 is an apocalyptic number.

384982290 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 384982290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633350016).

384982290 is an abundant number, since it is smaller than the sum of its proper divisors (881717742).

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

384982290 is a wasteful number, since it uses less digits than its factorization.

384982290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

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

The square root of 384982290 is about 19620.9655725706. The cubic root of 384982290 is about 727.4674800357.

The spelling of 384982290 in words is "three hundred eighty-four million, nine hundred eighty-two thousand, two hundred ninety".