234448000 has 64 divisors (see below), whose sum is σ = 582936120. Its totient is φ = 93772800.

The previous prime is 234447989. The next prime is 234448013. The reversal of 234448000 is 844432.

It can be written as a sum of positive squares in 4 ways, for example, as 106667584 + 127780416 = 10328^2 + 11304^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 7 ways as a sum of consecutive naturals, for example, 8674 + ... + 23326.

Almost surely, 2^234448000 is an apocalyptic number.

234448000 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 234448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291468060).

234448000 is an abundant number, since it is smaller than the sum of its proper divisors (348488120).

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

234448000 is an equidigital number, since it uses as much as digits as its factorization.

234448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14682 (or 14660 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 234448000 is about 15311.6948767927. The cubic root of 234448000 is about 616.6170238424.

The spelling of 234448000 in words is "two hundred thirty-four million, four hundred forty-eight thousand".