249593652 has 216 divisors, whose sum is σ = 844028640. Its totient is φ = 61326720.

The previous prime is 249593651. The next prime is 249593683. The reversal of 249593652 is 256395942.

249593652 is a `hidden beast` number, since 2 + 4 + 9 + 593 + 6 + 52 = 666.

It is a super-2 number, since 2×249593652² = 124593982237394208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 249593598 and 249593607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249593651) 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, 368338 + ... + 369014.

It is an arithmetic number, because the mean of its divisors is an integer number (3907540).

Almost surely, 2^249593652 is an apocalyptic number.

249593652 is a gapful number since it is divisible by the number (22) 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 249593652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422014320).

249593652 is an abundant number, since it is smaller than the sum of its proper divisors (594434988).

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

249593652 is a wasteful number, since it uses less digits than its factorization.

249593652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 249593652 is about 15798.5332230559. The cubic root of 249593652 is about 629.6190289264.

The spelling of 249593652 in words is "two hundred forty-nine million, five hundred ninety-three thousand, six hundred fifty-two".