249795546 has 192 divisors, whose sum is σ = 715008000. Its totient is φ = 56453760.

The previous prime is 249795541. The next prime is 249795577. The reversal of 249795546 is 645597942.

It is not an unprimeable number, because it can be changed into a prime (249795541) 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 95 ways as a sum of consecutive naturals, for example, 1255155 + ... + 1255353.

It is an arithmetic number, because the mean of its divisors is an integer number (3724000).

Almost surely, 2^249795546 is an apocalyptic number.

249795546 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 249795546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357504000).

249795546 is an abundant number, since it is smaller than the sum of its proper divisors (465212454).

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

249795546 is a wasteful number, since it uses less digits than its factorization.

249795546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The square root of 249795546 is about 15804.9215752562. The cubic root of 249795546 is about 629.7887475126.

The spelling of 249795546 in words is "two hundred forty-nine million, seven hundred ninety-five thousand, five hundred forty-six".