249346020 has 192 divisors, whose sum is σ = 899039232. Its totient is φ = 50112000.

The previous prime is 249345991. The next prime is 249346033. The reversal of 249346020 is 20643942.

249346020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 142350 + ... + 144090.

It is an arithmetic number, because the mean of its divisors is an integer number (4682496).

Almost surely, 2^249346020 is an apocalyptic number.

249346020 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 249346020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449519616).

249346020 is an abundant number, since it is smaller than the sum of its proper divisors (649693212).

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

249346020 is a wasteful number, since it uses less digits than its factorization.

249346020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 249346020 is about 15790.6940949409. The cubic root of 249346020 is about 629.4107364887.

Adding to 249346020 its reverse (20643942), we get a palindrome (269989962).

The spelling of 249346020 in words is "two hundred forty-nine million, three hundred forty-six thousand, twenty".