249614976 has 128 divisors (see below), whose sum is σ = 737533440. Its totient is φ = 74280960.

The previous prime is 249614971. The next prime is 249615013. The reversal of 249614976 is 679416942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (249614971) 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 15 ways as a sum of consecutive naturals, for example, 153946 + ... + 155558.

It is an arithmetic number, because the mean of its divisors is an integer number (5761980).

Almost surely, 2^249614976 is an apocalyptic number.

249614976 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 249614976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368766720).

249614976 is an abundant number, since it is smaller than the sum of its proper divisors (487918464).

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

249614976 is a wasteful number, since it uses less digits than its factorization.

249614976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1662 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 249614976 is about 15799.2080814198. The cubic root of 249614976 is about 629.6369588881.

The spelling of 249614976 in words is "two hundred forty-nine million, six hundred fourteen thousand, nine hundred seventy-six".