249253950 has 144 divisors (see below), whose sum is σ = 702955008. Its totient is φ = 58344000.

The previous prime is 249253943. The next prime is 249253969. The reversal of 249253950 is 59352942.

It is a junction number, because it is equal to n+sod(n) for n = 249253899 and 249253908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 562429 + ... + 562871.

It is an arithmetic number, because the mean of its divisors is an integer number (4881632).

Almost surely, 2^249253950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249253950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351477504).

249253950 is an abundant number, since it is smaller than the sum of its proper divisors (453701058).

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

249253950 is a wasteful number, since it uses less digits than its factorization.

249253950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 249253950 is about 15787.7785011065. The cubic root of 249253950 is about 629.3332578367. Note that the first 3 decimals are identical.

The spelling of 249253950 in words is "two hundred forty-nine million, two hundred fifty-three thousand, nine hundred fifty".