249725952 has 264 divisors, whose sum is σ = 851552000. Its totient is φ = 70447104.

The previous prime is 249725923. The next prime is 249725953. The reversal of 249725952 is 259527942.

It is a super-2 number, since 2×249725952² = 124726102204612608, which contains 22 as substring.

Its product of digits (453600) is a multiple of the sum of its prime factors (126).

It is a junction number, because it is equal to n+sod(n) for n = 249725898 and 249725907.

It is not an unprimeable number, because it can be changed into a prime (249725953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161049 + ... + 3161127.

Almost surely, 2^249725952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425776000).

249725952 is an abundant number, since it is smaller than the sum of its proper divisors (601826048).

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

249725952 is an equidigital number, since it uses as much as digits as its factorization.

249725952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 91 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 249725952 is about 15802.7197659137. The cubic root of 249725952 is about 629.7302548909.

The spelling of 249725952 in words is "two hundred forty-nine million, seven hundred twenty-five thousand, nine hundred fifty-two".