249280920 has 192 divisors, whose sum is σ = 956067840. Its totient is φ = 55123200.

The previous prime is 249280891. The next prime is 249280921. The reversal of 249280920 is 29082942.

249280920 is a `hidden beast` number, since 2 + 492 + 80 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249280921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76525 + ... + 79715.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^249280920 is an apocalyptic number.

249280920 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 249280920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

249280920 is an abundant number, since it is smaller than the sum of its proper divisors (706786920).

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

249280920 is a wasteful number, since it uses less digits than its factorization.

249280920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 249280920 is about 15788.6326197046. The cubic root of 249280920 is about 629.3559555790.

Adding to 249280920 its sum of digits (36), we get a triangular number (249280956 = T₂₂₃₂₈).

The spelling of 249280920 in words is "two hundred forty-nine million, two hundred eighty thousand, nine hundred twenty".