249651072 has 240 divisors, whose sum is σ = 820743000. Its totient is φ = 75271680.

The previous prime is 249651071. The next prime is 249651079. The reversal of 249651072 is 270156942.

249651072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249651071) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254429 + ... + 1254627.

Almost surely, 2^249651072 is an apocalyptic number.

249651072 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 249651072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410371500).

249651072 is an abundant number, since it is smaller than the sum of its proper divisors (571091928).

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

249651072 is a wasteful number, since it uses less digits than its factorization.

249651072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 249651072 is about 15800.3503758619. The cubic root of 249651072 is about 629.6673073346.

The spelling of 249651072 in words is "two hundred forty-nine million, six hundred fifty-one thousand, seventy-two".