249079280 has 40 divisors (see below), whose sum is σ = 582177024. Its totient is φ = 99104000.

The previous prime is 249079261. The next prime is 249079283. The reversal of 249079280 is 82970942.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249079283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7130 + ... + 23430.

Almost surely, 2^249079280 is an apocalyptic number.

249079280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249079280 is an abundant number, since it is smaller than the sum of its proper divisors (333097744).

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

249079280 is a wasteful number, since it uses less digits than its factorization.

249079280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16505 (or 16499 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 249079280 is about 15782.2457210626. The cubic root of 249079280 is about 629.1862172679.

The spelling of 249079280 in words is "two hundred forty-nine million, seventy-nine thousand, two hundred eighty".