249726906 has 144 divisors (see below), whose sum is σ = 678300480. Its totient is φ = 65594880.

The previous prime is 249726901. The next prime is 249726943. The reversal of 249726906 is 609627942.

It is not an unprimeable number, because it can be changed into a prime (249726901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 568635 + ... + 569073.

It is an arithmetic number, because the mean of its divisors is an integer number (4710420).

Almost surely, 2^249726906 is an apocalyptic number.

249726906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 249726906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339150240).

249726906 is an abundant number, since it is smaller than the sum of its proper divisors (428573574).

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

249726906 is a wasteful number, since it uses less digits than its factorization.

249726906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 249726906 is about 15802.7499505624. The cubic root of 249726906 is about 629.7310567858.

It can be divided in two parts, 24972 and 6906, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 249726906 in words is "two hundred forty-nine million, seven hundred twenty-six thousand, nine hundred six".