249407101 has 24 divisors (see below), whose sum is σ = 271545120. Its totient is φ = 228914400.

The previous prime is 249407099. The next prime is 249407131. The reversal of 249407101 is 101704942.

It is not a de Polignac number, because 249407101 - 2¹ = 249407099 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 249407101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249407131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1903806 + ... + 1903936.

It is an arithmetic number, because the mean of its divisors is an integer number (11314380).

Almost surely, 2^249407101 is an apocalyptic number.

It is an amenable number.

249407101 is a deficient number, since it is larger than the sum of its proper divisors (22138019).

249407101 is a wasteful number, since it uses less digits than its factorization.

249407101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 249407101 is about 15792.6280586861. The cubic root of 249407101 is about 629.4621267861.

It can be divided in two parts, 24940 and 7101, that added together give a square (32041 = 179²).

The spelling of 249407101 in words is "two hundred forty-nine million, four hundred seven thousand, one hundred one".