249745680 has 240 divisors, whose sum is σ = 901817280. Its totient is φ = 64157184.

The previous prime is 249745673. The next prime is 249745697. The reversal of 249745680 is 86547942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563539 + ... + 563981.

It is an arithmetic number, because the mean of its divisors is an integer number (3757572).

Almost surely, 2^249745680 is an apocalyptic number.

249745680 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 249745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450908640).

249745680 is an abundant number, since it is smaller than the sum of its proper divisors (652071600).

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

249745680 is a wasteful number, since it uses less digits than its factorization.

249745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 249745680 is about 15803.3439499367. The cubic root of 249745680 is about 629.7468370566.

The spelling of 249745680 in words is "two hundred forty-nine million, seven hundred forty-five thousand, six hundred eighty".