249610020 has 96 divisors (see below), whose sum is σ = 768531456. Its totient is φ = 60028800.

The previous prime is 249610013. The next prime is 249610021. The reversal of 249610020 is 20016942.

It is not an unprimeable number, because it can be changed into a prime (249610021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85017 + ... + 87903.

It is an arithmetic number, because the mean of its divisors is an integer number (8005536).

Almost surely, 2^249610020 is an apocalyptic number.

249610020 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 249610020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384265728).

249610020 is an abundant number, since it is smaller than the sum of its proper divisors (518921436).

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

249610020 is a wasteful number, since it uses less digits than its factorization.

249610020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3041 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 249610020 is about 15799.0512373370. The cubic root of 249610020 is about 629.6327918018.

Adding to 249610020 its reverse (20016942), we get a palindrome (269626962).

The spelling of 249610020 in words is "two hundred forty-nine million, six hundred ten thousand, twenty".