249474840 has 64 divisors (see below), whose sum is σ = 755330400. Its totient is φ = 65912832.

The previous prime is 249474829. The next prime is 249474851. The reversal of 249474840 is 48474942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (249474829) and next prime (249474851).

It is a junction number, because it is equal to n+sod(n) for n = 249474792 and 249474801.

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 15 ways as a sum of consecutive naturals, for example, 3544 + ... + 22616.

Almost surely, 2^249474840 is an apocalyptic number.

249474840 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 249474840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377665200).

249474840 is an abundant number, since it is smaller than the sum of its proper divisors (505855560).

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

249474840 is a wasteful number, since it uses less digits than its factorization.

249474840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19196 (or 19192 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 249474840 is about 15794.7725529683. The cubic root of 249474840 is about 629.5191089586.

The spelling of 249474840 in words is "two hundred forty-nine million, four hundred seventy-four thousand, eight hundred forty".