249608401 has 27 divisors (see below), whose sum is σ = 303392817. Its totient is φ = 204755040.

The previous prime is 249608357. The next prime is 249608407. The reversal of 249608401 is 104806942.

The square root of 249608401 is 15799.

It is a perfect power (a square), and thus also a powerful number.

249608401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5499025 + 244109376 = 2345^2 + 15624^2 .

It is not a de Polignac number, because 249608401 - 2⁷ = 249608273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (249608407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4091911 + ... + 4091971.

It is an arithmetic number, because the mean of its divisors is an integer number (11236771).

Almost surely, 2^249608401 is an apocalyptic number.

249608401 is the 15799-th square number.

249608401 is the 7900-th centered octagonal number.

It is an amenable number.

249608401 is a deficient number, since it is larger than the sum of its proper divisors (53784416).

249608401 is an frugal number, since it uses more digits than its factorization.

249608401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The cubic root of 249608401 is about 629.6314305080.

The spelling of 249608401 in words is "two hundred forty-nine million, six hundred eight thousand, four hundred one".