249090688 has 128 divisors (see below), whose sum is σ = 626688000. Its totient is φ = 95800320.

The previous prime is 249090679. The next prime is 249090691. The reversal of 249090688 is 886090942.

249090688 = 1337² + 1338² + ... + 1463².

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251613 + ... + 1251811.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2^249090688 is an apocalyptic number.

249090688 is a gapful number since it is divisible by the number (28) 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 249090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313344000).

249090688 is an abundant number, since it is smaller than the sum of its proper divisors (377597312).

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

249090688 is a wasteful number, since it uses less digits than its factorization.

249090688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The square root of 249090688 is about 15782.6071357048. The cubic root of 249090688 is about 629.1958228398.

The spelling of 249090688 in words is "two hundred forty-nine million, ninety thousand, six hundred eighty-eight".