249901896 has 64 divisors (see below), whose sum is σ = 645765120. Its totient is φ = 80539200.

The previous prime is 249901891. The next prime is 249901901. The reversal of 249901896 is 698109942.

249901896 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 (249901891) and next prime (249901901).

It is not an unprimeable number, because it can be changed into a prime (249901891) 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, 105121 + ... + 107471.

It is an arithmetic number, because the mean of its divisors is an integer number (10090080).

Almost surely, 2^249901896 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 249901896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322882560).

249901896 is an abundant number, since it is smaller than the sum of its proper divisors (395863224).

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

249901896 is a wasteful number, since it uses less digits than its factorization.

249901896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 249901896 is about 15808.2856755563. The cubic root of 249901896 is about 629.8781119700.

The spelling of 249901896 in words is "two hundred forty-nine million, nine hundred one thousand, eight hundred ninety-six".