249106880 has 56 divisors (see below), whose sum is σ = 647120880. Its totient is φ = 90583040.

The previous prime is 249106877. The next prime is 249106883. The reversal of 249106880 is 88601942.

It is an interprime number because it is at equal distance from previous prime (249106877) and next prime (249106883).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249106883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31865 + ... + 38904.

It is an arithmetic number, because the mean of its divisors is an integer number (11555730).

Almost surely, 2^249106880 is an apocalyptic number.

249106880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249106880 is an abundant number, since it is smaller than the sum of its proper divisors (398014000).

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

249106880 is a wasteful number, since it uses less digits than its factorization.

249106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70797 (or 70787 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The square root of 249106880 is about 15783.1200971164. The cubic root of 249106880 is about 629.2094560512.

The spelling of 249106880 in words is "two hundred forty-nine million, one hundred six thousand, eight hundred eighty".