232252416 has 264 divisors, whose sum is σ = 766396800. Its totient is φ = 67092480.

The previous prime is 232252373. The next prime is 232252421. The reversal of 232252416 is 614252232.

It is a happy number.

232252416 is a `hidden beast` number, since 23 + 225 + 2 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 232252416.

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 23 ways as a sum of consecutive naturals, for example, 2939865 + ... + 2939943.

Almost surely, 2^232252416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232252416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383198400).

232252416 is an abundant number, since it is smaller than the sum of its proper divisors (534144384).

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

232252416 is a wasteful number, since it uses less digits than its factorization.

232252416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 232252416 is about 15239.8299203108. The cubic root of 232252416 is about 614.6861297478.

The spelling of 232252416 in words is "two hundred thirty-two million, two hundred fifty-two thousand, four hundred sixteen".