232427440 has 80 divisors (see below), whose sum is σ = 623227968. Its totient is φ = 78962688.

The previous prime is 232427413. The next prime is 232427453. The reversal of 232427440 is 44724232.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 232427399 and 232427408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61444 + ... + 65116.

Almost surely, 2^232427440 is an apocalyptic number.

232427440 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 232427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311613984).

232427440 is an abundant number, since it is smaller than the sum of its proper divisors (390800528).

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

232427440 is a wasteful number, since it uses less digits than its factorization.

232427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 28.

The square root of 232427440 is about 15245.5711601763. The cubic root of 232427440 is about 614.8404988795.

The spelling of 232427440 in words is "two hundred thirty-two million, four hundred twenty-seven thousand, four hundred forty".