249920376 has 64 divisors (see below), whose sum is σ = 680400000. Its totient is φ = 76196736.

The previous prime is 249920353. The next prime is 249920381. The reversal of 249920376 is 673029942.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3775 + ... + 22673.

It is an arithmetic number, because the mean of its divisors is an integer number (10631250).

Almost surely, 2^249920376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249920376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200000).

249920376 is an abundant number, since it is smaller than the sum of its proper divisors (430479624).

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

249920376 is a wasteful number, since it uses less digits than its factorization.

249920376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18956 (or 18952 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 249920376 is about 15808.8701683580. The cubic root of 249920376 is about 629.8936378767.

The spelling of 249920376 in words is "two hundred forty-nine million, nine hundred twenty thousand, three hundred seventy-six".