249333552 has 120 divisors (see below), whose sum is σ = 779453584. Its totient is φ = 76702464.

The previous prime is 249333541. The next prime is 249333563. The reversal of 249333552 is 255333942.

249333552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249333541) and next prime (249333563).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48078 + ... + 53010.

Almost surely, 2^249333552 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 249333552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389726792).

249333552 is an abundant number, since it is smaller than the sum of its proper divisors (530120032).

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

249333552 is a wasteful number, since it uses less digits than its factorization.

249333552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4951 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 249333552 is about 15790.2993005199. The cubic root of 249333552 is about 629.4002455468.

The spelling of 249333552 in words is "two hundred forty-nine million, three hundred thirty-three thousand, five hundred fifty-two".