249773680 has 80 divisors (see below), whose sum is σ = 642396384. Its totient is φ = 89717760.

The previous prime is 249773663. The next prime is 249773701. The reversal of 249773680 is 86377942.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 249773680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35235 + ... + 41725.

Almost surely, 2^249773680 is an apocalyptic number.

249773680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249773680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321198192).

249773680 is an abundant number, since it is smaller than the sum of its proper divisors (392622704).

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

249773680 is a wasteful number, since it uses less digits than its factorization.

249773680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6554 (or 6548 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 46.

The square root of 249773680 is about 15804.2298135657. The cubic root of 249773680 is about 629.7703706669.

The spelling of 249773680 in words is "two hundred forty-nine million, seven hundred seventy-three thousand, six hundred eighty".