249962880 has 128 divisors (see below), whose sum is σ = 805269600. Its totient is φ = 65945600.

The previous prime is 249962837. The next prime is 249962887. The reversal of 249962880 is 88269942.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249962887) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 193276 + ... + 194564.

Almost surely, 2^249962880 is an apocalyptic number.

249962880 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 249962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402634800).

249962880 is an abundant number, since it is smaller than the sum of its proper divisors (555306720).

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

249962880 is a wasteful number, since it uses less digits than its factorization.

249962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 249962880 is about 15810.2144197984. The cubic root of 249962880 is about 629.9293445579.

The spelling of 249962880 in words is "two hundred forty-nine million, nine hundred sixty-two thousand, eight hundred eighty".