249426072 has 216 divisors, whose sum is σ = 840960900. Its totient is φ = 66407040.

The previous prime is 249426049. The next prime is 249426103. The reversal of 249426072 is 270624942.

249426072 = 218³ + 219³ + ... + 238³.

249426072 is a `hidden beast` number, since 2 + 4 + 9 + 42 + 607 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4088922 + ... + 4088982.

Almost surely, 2^249426072 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 249426072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420480450).

249426072 is an abundant number, since it is smaller than the sum of its proper divisors (591534828).

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

249426072 is a wasteful number, since it uses less digits than its factorization.

249426072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 249426072 is about 15793.2286756065. The cubic root of 249426072 is about 629.4780862666.

The spelling of 249426072 in words is "two hundred forty-nine million, four hundred twenty-six thousand, seventy-two".