249536196 has 216 divisors, whose sum is σ = 823228224. Its totient is φ = 62052480.

The previous prime is 249536129. The next prime is 249536197. The reversal of 249536196 is 691635942.

249536196 is a `hidden beast` number, since 24 + 9 + 5 + 3 + 619 + 6 = 666.

It is a super-2 number, since 2×249536196² = 124536626228300832, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (249536197) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1182531 + ... + 1182741.

Almost surely, 2^249536196 is an apocalyptic number.

249536196 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 249536196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411614112).

249536196 is an abundant number, since it is smaller than the sum of its proper divisors (573692028).

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

249536196 is a wasteful number, since it uses less digits than its factorization.

249536196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 249536196 is about 15796.7147217388. The cubic root of 249536196 is about 629.5707128377.

The spelling of 249536196 in words is "two hundred forty-nine million, five hundred thirty-six thousand, one hundred ninety-six".