249028560 has 320 divisors, whose sum is σ = 959938560. Its totient is φ = 58821120.

The previous prime is 249028541. The next prime is 249028579. The reversal of 249028560 is 65820942.

It is a happy number.

249028560 is a `hidden beast` number, since 2 + 4 + 90 + 2 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (249028541) and next prime (249028579).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1116609 + ... + 1116831.

It is an arithmetic number, because the mean of its divisors is an integer number (2999808).

Almost surely, 2^249028560 is an apocalyptic number.

249028560 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 249028560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479969280).

249028560 is an abundant number, since it is smaller than the sum of its proper divisors (710910000).

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

249028560 is a wasteful number, since it uses less digits than its factorization.

249028560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 249028560 is about 15780.6387703413. The cubic root of 249028560 is about 629.1435073172.

The spelling of 249028560 in words is "two hundred forty-nine million, twenty-eight thousand, five hundred sixty".