249470144 has 224 divisors, whose sum is σ = 674168832. Its totient is φ = 88704000.

The previous prime is 249470083. The next prime is 249470173. The reversal of 249470144 is 441074942.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3513629 + ... + 3513699.

Almost surely, 2^249470144 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 249470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337084416).

249470144 is an abundant number, since it is smaller than the sum of its proper divisors (424698688).

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

249470144 is a wasteful number, since it uses less digits than its factorization.

249470144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 249470144 is about 15794.6238954905. The cubic root of 249470144 is about 629.5151590075.

The spelling of 249470144 in words is "two hundred forty-nine million, four hundred seventy thousand, one hundred forty-four".