232979040 has 288 divisors, whose sum is σ = 941129280. Its totient is φ = 51351552.

The previous prime is 232979039. The next prime is 232979041. The reversal of 232979040 is 40979232.

It is an interprime number because it is at equal distance from previous prime (232979039) and next prime (232979041).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 232978986 and 232979004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232979041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291922 + ... + 292718.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 2^232979040 is an apocalyptic number.

232979040 is a gapful number since it is divisible by the number (20) 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 232979040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470564640).

232979040 is an abundant number, since it is smaller than the sum of its proper divisors (708150240).

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

232979040 is a wasteful number, since it uses less digits than its factorization.

232979040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 232979040 is about 15263.6509394050. The cubic root of 232979040 is about 615.3264972678.

The spelling of 232979040 in words is "two hundred thirty-two million, nine hundred seventy-nine thousand, forty".