249509952 has 168 divisors, whose sum is σ = 768864096. Its totient is φ = 77082624.

The previous prime is 249509893. The next prime is 249509959. The reversal of 249509952 is 259905942.

249509952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249509952² = 124510432294084608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 249509898 and 249509907.

It is not an unprimeable number, because it can be changed into a prime (249509959) 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, 812583 + ... + 812889.

It is an arithmetic number, because the mean of its divisors is an integer number (4576572).

Almost surely, 2^249509952 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 249509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384432048).

249509952 is an abundant number, since it is smaller than the sum of its proper divisors (519354144).

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

249509952 is a wasteful number, since it uses less digits than its factorization.

249509952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 249509952 is about 15795.8840208454. The cubic root of 249509952 is about 629.5486411792.

The spelling of 249509952 in words is "two hundred forty-nine million, five hundred nine thousand, nine hundred fifty-two".