249231948 has 48 divisors (see below), whose sum is σ = 680838144. Its totient is φ = 69471360.

The previous prime is 249231947. The next prime is 249231967. The reversal of 249231948 is 849132942.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (249231947) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32740 + ... + 39627.

It is an arithmetic number, because the mean of its divisors is an integer number (14184128).

Almost surely, 2^249231948 is an apocalyptic number.

249231948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

249231948 is an abundant number, since it is smaller than the sum of its proper divisors (431606196).

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

249231948 is a wasteful number, since it uses less digits than its factorization.

249231948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72422 (or 72420 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 249231948 is about 15787.0816809187. The cubic root of 249231948 is about 629.3147399118.

The spelling of 249231948 in words is "two hundred forty-nine million, two hundred thirty-one thousand, nine hundred forty-eight".