238182984 has 128 divisors (see below), whose sum is σ = 717427200. Its totient is φ = 72783360.

The previous prime is 238182961. The next prime is 238182991. The reversal of 238182984 is 489281832.

It is a super-2 number, since 2×238182984² = 113462267734288512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760812 + ... + 761124.

It is an arithmetic number, because the mean of its divisors is an integer number (5604900).

Almost surely, 2^238182984 is an apocalyptic number.

238182984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238182984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358713600).

238182984 is an abundant number, since it is smaller than the sum of its proper divisors (479244216).

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

238182984 is a wasteful number, since it uses less digits than its factorization.

238182984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 238182984 is about 15433.1780265764. The cubic root of 238182984 is about 619.8742235322.

The spelling of 238182984 in words is "two hundred thirty-eight million, one hundred eighty-two thousand, nine hundred eighty-four".