232414000 has 160 divisors (see below), whose sum is σ = 692205696. Its totient is φ = 73497600.

The previous prime is 232413997. The next prime is 232414001. The reversal of 232414000 is 414232.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232414001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 181362 + ... + 182638.

Almost surely, 2^232414000 is an apocalyptic number.

232414000 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 232414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346102848).

232414000 is an abundant number, since it is smaller than the sum of its proper divisors (459791696).

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

232414000 is a wasteful number, since it uses less digits than its factorization.

232414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 232414000 is about 15245.1303700559. The cubic root of 232414000 is about 614.8286477034.

Adding to 232414000 its reverse (414232), we get a palindrome (232828232).

The spelling of 232414000 in words is "two hundred thirty-two million, four hundred fourteen thousand".