249075000 has 288 divisors, whose sum is σ = 895723920. Its totient is φ = 64800000.

The previous prime is 249074999. The next prime is 249075011. The reversal of 249075000 is 570942.

249075000 is digitally balanced in base 2, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6074980 + ... + 6075020.

Almost surely, 2^249075000 is an apocalyptic number.

249075000 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 249075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447861960).

249075000 is an abundant number, since it is smaller than the sum of its proper divisors (646648920).

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

249075000 is an frugal number, since it uses more digits than its factorization.

249075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 249075000 is about 15782.1101250752. The cubic root of 249075000 is about 629.1826134188.

The spelling of 249075000 in words is "two hundred forty-nine million, seventy-five thousand".