249050340 has 432 divisors, whose sum is σ = 1021797504. Its totient is φ = 48384000.

The previous prime is 249050327. The next prime is 249050363. The reversal of 249050340 is 43050942.

249050340 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1649265 + ... + 1649415.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 2^249050340 is an apocalyptic number.

249050340 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 249050340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510898752).

249050340 is an abundant number, since it is smaller than the sum of its proper divisors (772747164).

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

249050340 is a wasteful number, since it uses less digits than its factorization.

249050340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 249050340 is about 15781.3288413872. The cubic root of 249050340 is about 629.1618483811.

The spelling of 249050340 in words is "two hundred forty-nine million, fifty thousand, three hundred forty".