249480000 has 700 divisors, whose sum is σ = 1152156192. Its totient is φ = 51840000.

The previous prime is 249479987. The next prime is 249480017. The reversal of 249480000 is 84942.

249480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (700).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 22679995 + ... + 22680005.

Almost surely, 2^249480000 is an apocalyptic number.

249480000 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 249480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576078096).

249480000 is an abundant number, since it is smaller than the sum of its proper divisors (902676192).

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

249480000 is an equidigital number, since it uses as much as digits as its factorization.

249480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 249480000 is about 15794.9358973058. The cubic root of 249480000 is about 629.5234491374.

It can be divided in two parts, 249 and 480000, that added together give a square (480249 = 693²).

The spelling of 249480000 in words is "two hundred forty-nine million, four hundred eighty thousand".