249850020 has 144 divisors (see below), whose sum is σ = 861840000. Its totient is φ = 53738496.

The previous prime is 249850009. The next prime is 249850031. The reversal of 249850020 is 20058942.

It is an interprime number because it is at equal distance from previous prime (249850009) and next prime (249850031).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 249850020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47481 + ... + 52479.

It is an arithmetic number, because the mean of its divisors is an integer number (5985000).

Almost surely, 2^249850020 is an apocalyptic number.

249850020 is a gapful number since it is divisible by the number (20) 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 249850020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920000).

249850020 is an abundant number, since it is smaller than the sum of its proper divisors (611989980).

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

249850020 is a wasteful number, since it uses less digits than its factorization.

249850020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 249850020 is about 15806.6448052710. The cubic root of 249850020 is about 629.8345244413.

The spelling of 249850020 in words is "two hundred forty-nine million, eight hundred fifty thousand, twenty".