249528972 has 144 divisors (see below), whose sum is σ = 746468352. Its totient is φ = 64149120.

The previous prime is 249528949. The next prime is 249528977. The reversal of 249528972 is 279825942.

It is not an unprimeable number, because it can be changed into a prime (249528977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118853 + ... + 1119075.

It is an arithmetic number, because the mean of its divisors is an integer number (5183808).

Almost surely, 2^249528972 is an apocalyptic number.

249528972 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 249528972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373234176).

249528972 is an abundant number, since it is smaller than the sum of its proper divisors (496939380).

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

249528972 is a wasteful number, since it uses less digits than its factorization.

249528972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 249528972 is about 15796.4860649450. The cubic root of 249528972 is about 629.5646374829.

The spelling of 249528972 in words is "two hundred forty-nine million, five hundred twenty-eight thousand, nine hundred seventy-two".