249520128 has 224 divisors, whose sum is σ = 792675072. Its totient is φ = 68812800.

The previous prime is 249520121. The next prime is 249520163. The reversal of 249520128 is 821025942.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249520121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3514333 + ... + 3514403.

It is an arithmetic number, because the mean of its divisors is an integer number (3538728).

Almost surely, 2^249520128 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 249520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396337536).

249520128 is an abundant number, since it is smaller than the sum of its proper divisors (543154944).

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

249520128 is a wasteful number, since it uses less digits than its factorization.

249520128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 249520128 is about 15796.2061267888. The cubic root of 249520128 is about 629.5571995551.

The spelling of 249520128 in words is "two hundred forty-nine million, five hundred twenty thousand, one hundred twenty-eight".