249630240 has 48 divisors (see below), whose sum is σ = 786336768. Its totient is φ = 66567936.

The previous prime is 249630217. The next prime is 249630299. The reversal of 249630240 is 42036942.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 249630198 and 249630207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 259552 + ... + 260511.

It is an arithmetic number, because the mean of its divisors is an integer number (16382016).

Almost surely, 2^249630240 is an apocalyptic number.

249630240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249630240 is an abundant number, since it is smaller than the sum of its proper divisors (536706528).

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

249630240 is a wasteful number, since it uses less digits than its factorization.

249630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520081 (or 520073 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 249630240 is about 15799.6911362216. The cubic root of 249630240 is about 629.6497927637.

The spelling of 249630240 in words is "two hundred forty-nine million, six hundred thirty thousand, two hundred forty".