249989376 has 288 divisors, whose sum is σ = 847033600. Its totient is φ = 65028096.

The previous prime is 249989371. The next prime is 249989387. The reversal of 249989376 is 673989942.

It is a super-2 number, since 2×249989376² = 124989376225738752, which contains 22 as substring.

Its product of digits (5878656) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (249989371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3424476 + ... + 3424548.

Almost surely, 2^249989376 is an apocalyptic number.

249989376 is a gapful number since it is divisible by the number (26) 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 249989376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423516800).

249989376 is an abundant number, since it is smaller than the sum of its proper divisors (597044224).

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

249989376 is an equidigital number, since it uses as much as digits as its factorization.

249989376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 98 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 57.

The square root of 249989376 is about 15811.0523368940. The cubic root of 249989376 is about 629.9516012202.

The spelling of 249989376 in words is "two hundred forty-nine million, nine hundred eighty-nine thousand, three hundred seventy-six".