249920604 has 72 divisors (see below), whose sum is σ = 704143440. Its totient is φ = 74276352.

The previous prime is 249920591. The next prime is 249920609. The reversal of 249920604 is 406029942.

249920604 is a `hidden beast` number, since 2 + 49 + 9 + 2 + 0 + 604 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249920609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882 + ... + 22374.

It is an arithmetic number, because the mean of its divisors is an integer number (9779770).

Almost surely, 2^249920604 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 249920604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352071720).

249920604 is an abundant number, since it is smaller than the sum of its proper divisors (454222836).

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

249920604 is a wasteful number, since it uses less digits than its factorization.

249920604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21539 (or 21534 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 249920604 is about 15808.8773794979. The cubic root of 249920604 is about 629.8938294253.

The spelling of 249920604 in words is "two hundred forty-nine million, nine hundred twenty thousand, six hundred four".