249034656 has 192 divisors, whose sum is σ = 749177856. Its totient is φ = 71884800.

The previous prime is 249034633. The next prime is 249034657. The reversal of 249034656 is 656430942.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (249034657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1586130 + ... + 1586286.

It is an arithmetic number, because the mean of its divisors is an integer number (3901968).

Almost surely, 2^249034656 is an apocalyptic number.

249034656 is a gapful number since it is divisible by the number (26) 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 249034656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374588928).

249034656 is an abundant number, since it is smaller than the sum of its proper divisors (500143200).

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

249034656 is a wasteful number, since it uses less digits than its factorization.

249034656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 249034656 is about 15780.8319172343. The cubic root of 249034656 is about 629.1486409018.

The spelling of 249034656 in words is "two hundred forty-nine million, thirty-four thousand, six hundred fifty-six".