233478401 has 6 divisors (see below), whose sum is σ = 252819990. Its totient is φ = 215518368.

The previous prime is 233478389. The next prime is 233478431. The reversal of 233478401 is 104874332.

It is a Cunningham number, because it is equal to 15280²+1.

It can be written as a sum of positive squares in 3 ways, for example, as 1 + 233478400 = 1^2 + 15280^2 .

It is not a de Polignac number, because 233478401 - 2⁶ = 233478337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (233478431) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 690596 + ... + 690933.

It is an arithmetic number, because the mean of its divisors is an integer number (42136665).

Almost surely, 2^233478401 is an apocalyptic number.

It is an amenable number.

233478401 is a deficient number, since it is larger than the sum of its proper divisors (19341589).

233478401 is a wasteful number, since it uses less digits than its factorization.

233478401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381555 (or 1381542 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 233478401 is about 15280.0000327225. Note that the first 4 decimals coincide. The cubic root of 233478401 is about 615.7658082956.

The spelling of 233478401 in words is "two hundred thirty-three million, four hundred seventy-eight thousand, four hundred one".