249377920 has 64 divisors (see below), whose sum is σ = 650384640. Its totient is φ = 90680320.

The previous prime is 249377917. The next prime is 249377923. The reversal of 249377920 is 29773942.

It is a happy number.

249377920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249377917) and next prime (249377923).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (249377923) 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 7 ways as a sum of consecutive naturals, for example, 10672 + ... + 24751.

It is an arithmetic number, because the mean of its divisors is an integer number (10162260).

Almost surely, 2^249377920 is an apocalyptic number.

249377920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249377920 is an abundant number, since it is smaller than the sum of its proper divisors (401006720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

249377920 is a wasteful number, since it uses less digits than its factorization.

249377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35453 (or 35441 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 249377920 is about 15791.7041512308. The cubic root of 249377920 is about 629.4375764951.

The spelling of 249377920 in words is "two hundred forty-nine million, three hundred seventy-seven thousand, nine hundred twenty".