238400541 has 12 divisors (see below), whose sum is σ = 344851260. Its totient is φ = 158705280.

The previous prime is 238400521. The next prime is 238400551. The reversal of 238400541 is 145004832.

It can be written as a sum of positive squares in 2 ways, for example, as 93896100 + 144504441 = 9690^2 + 12021^2 .

It is not a de Polignac number, because 238400541 - 2¹⁹ = 237876253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238400521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12300 + ... + 25061.

It is an arithmetic number, because the mean of its divisors is an integer number (28737605).

Almost surely, 2^238400541 is an apocalyptic number.

It is an amenable number.

238400541 is a deficient number, since it is larger than the sum of its proper divisors (106450719).

238400541 is a wasteful number, since it uses less digits than its factorization.

238400541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38076 (or 38073 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 238400541 is about 15440.2247716800. The cubic root of 238400541 is about 620.0628977119.

The spelling of 238400541 in words is "two hundred thirty-eight million, four hundred thousand, five hundred forty-one".