249805998 has 96 divisors (see below), whose sum is σ = 621204480. Its totient is φ = 74299680.

The previous prime is 249805991. The next prime is 249805999. The reversal of 249805998 is 899508942.

249805998 is a `hidden beast` number, since 2 + 49 + 8 + 0 + 599 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249805991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282465 + ... + 283347.

It is an arithmetic number, because the mean of its divisors is an integer number (6470880).

Almost surely, 2^249805998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249805998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310602240).

249805998 is an abundant number, since it is smaller than the sum of its proper divisors (371398482).

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

249805998 is a wasteful number, since it uses less digits than its factorization.

249805998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 249805998 is about 15805.2522282942. The cubic root of 249805998 is about 629.7975313097.

The spelling of 249805998 in words is "two hundred forty-nine million, eight hundred five thousand, nine hundred ninety-eight".