249060672 has 168 divisors, whose sum is σ = 822488576. Its totient is φ = 70585344.

The previous prime is 249060667. The next prime is 249060689. The reversal of 249060672 is 276060942.

It is a happy number.

249060672 is a `hidden beast` number, since 2 + 49 + 0 + 606 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 898998 + ... + 899274.

Almost surely, 2^249060672 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 249060672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411244288).

249060672 is an abundant number, since it is smaller than the sum of its proper divisors (573427904).

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

249060672 is a wasteful number, since it uses less digits than its factorization.

249060672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 249060672 is about 15781.6561868519. The cubic root of 249060672 is about 629.1705486440.

The spelling of 249060672 in words is "two hundred forty-nine million, sixty thousand, six hundred seventy-two".