249988536 has 192 divisors, whose sum is σ = 828921600. Its totient is φ = 66438144.

The previous prime is 249988513. The next prime is 249988547. The reversal of 249988536 is 635889942.

249988536 is a `hidden beast` number, since 24 + 9 + 9 + 88 + 536 = 666.

249988536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1396495 + ... + 1396673.

It is an arithmetic number, because the mean of its divisors is an integer number (4317300).

Almost surely, 2^249988536 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 249988536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414460800).

249988536 is an abundant number, since it is smaller than the sum of its proper divisors (578933064).

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

249988536 is a wasteful number, since it uses less digits than its factorization.

249988536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 249988536 is about 15811.0257731749. The cubic root of 249988536 is about 629.9508956436.

The spelling of 249988536 in words is "two hundred forty-nine million, nine hundred eighty-eight thousand, five hundred thirty-six".