249498000 has 240 divisors, whose sum is σ = 887193216. Its totient is φ = 65337600.

The previous prime is 249497981. The next prime is 249498071. The reversal of 249498000 is 894942.

It is a happy number.

249498000 is digitally balanced in base 2 and base 3, because in such bases 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493917 + ... + 1494083.

Almost surely, 2^249498000 is an apocalyptic number.

249498000 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 249498000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443596608).

249498000 is an abundant number, since it is smaller than the sum of its proper divisors (637695216).

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

249498000 is a wasteful number, since it uses less digits than its factorization.

249498000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 249498000 is about 15795.5056899107. The cubic root of 249498000 is about 629.5385888273.

The spelling of 249498000 in words is "two hundred forty-nine million, four hundred ninety-eight thousand".