249131456 has 56 divisors (see below), whose sum is σ = 570585600. Its totient is φ = 105714432.

The previous prime is 249131419. The next prime is 249131459. The reversal of 249131456 is 654131942.

249131456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249131459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43445 + ... + 48843.

Almost surely, 2^249131456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285292800).

249131456 is an abundant number, since it is smaller than the sum of its proper divisors (321454144).

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

249131456 is a wasteful number, since it uses less digits than its factorization.

249131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5511 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 249131456 is about 15783.8986312001. The cubic root of 249131456 is about 629.2301472275.

The spelling of 249131456 in words is "two hundred forty-nine million, one hundred thirty-one thousand, four hundred fifty-six".