249906546 has 96 divisors (see below), whose sum is σ = 595445760. Its totient is φ = 78393744.

The previous prime is 249906499. The next prime is 249906599. The reversal of 249906546 is 645609942.

249906546 is a nontrivial binomial coefficient, being equal to C(22357, 2).

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, 882921 + ... + 883203.

It is an arithmetic number, because the mean of its divisors is an integer number (6202560).

Almost surely, 2^249906546 is an apocalyptic number.

249906546 is the 22356-th triangular number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249906546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297722880).

249906546 is an abundant number, since it is smaller than the sum of its proper divisors (345539214).

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

249906546 is a wasteful number, since it uses less digits than its factorization.

249906546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 249906546 is about 15808.4327496435. The cubic root of 249906546 is about 629.8820187231.

The spelling of 249906546 in words is "two hundred forty-nine million, nine hundred six thousand, five hundred forty-six".