249420870 has 80 divisors (see below), whose sum is σ = 680267808. Its totient is φ = 65560320.

The previous prime is 249420839. The next prime is 249420911. The reversal of 249420870 is 78024942.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55342 + ... + 59678.

Almost surely, 2^249420870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249420870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340133904).

249420870 is an abundant number, since it is smaller than the sum of its proper divisors (430846938).

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

249420870 is a wasteful number, since it uses less digits than its factorization.

249420870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 249420870 is about 15793.0639839140. The cubic root of 249420870 is about 629.4737101299.

The spelling of 249420870 in words is "two hundred forty-nine million, four hundred twenty thousand, eight hundred seventy".