231949872 has 320 divisors, whose sum is σ = 876134400. Its totient is φ = 56920320.

The previous prime is 231949867. The next prime is 231949943. The reversal of 231949872 is 278949132.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 631833 + ... + 632199.

It is an arithmetic number, because the mean of its divisors is an integer number (2737920).

Almost surely, 2^231949872 is an apocalyptic number.

231949872 is a gapful number since it is divisible by the number (22) 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 231949872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438067200).

231949872 is an abundant number, since it is smaller than the sum of its proper divisors (644184528).

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

231949872 is a wasteful number, since it uses less digits than its factorization.

231949872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 409 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 231949872 is about 15229.9005906145. The cubic root of 231949872 is about 614.4191064615.

The spelling of 231949872 in words is "two hundred thirty-one million, nine hundred forty-nine thousand, eight hundred seventy-two".