249964071 has 16 divisors (see below), whose sum is σ = 381155328. Its totient is φ = 142740000.

The previous prime is 249964063. The next prime is 249964093. The reversal of 249964071 is 170469942.

It is not a de Polignac number, because 249964071 - 2³ = 249964063 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249964571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37921 + ... + 44021.

It is an arithmetic number, because the mean of its divisors is an integer number (23822208).

Almost surely, 2^249964071 is an apocalyptic number.

249964071 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

249964071 is a deficient number, since it is larger than the sum of its proper divisors (131191257).

249964071 is a wasteful number, since it uses less digits than its factorization.

249964071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062.

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 249964071 is about 15810.2520852768. The cubic root of 249964071 is about 629.9303450327.

The spelling of 249964071 in words is "two hundred forty-nine million, nine hundred sixty-four thousand, seventy-one".