247959120 has 80 divisors (see below), whose sum is σ = 809144640. Its totient is φ = 62641152.

The previous prime is 247959109. The next prime is 247959121. The reversal of 247959120 is 21959742.

247959120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×247959120² = 122967450382348800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247959121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22629 + ... + 31748.

It is an arithmetic number, because the mean of its divisors is an integer number (10114308).

Almost surely, 2^247959120 is an apocalyptic number.

247959120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

247959120 is an abundant number, since it is smaller than the sum of its proper divisors (561185520).

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

247959120 is a wasteful number, since it uses less digits than its factorization.

247959120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54412 (or 54406 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 247959120 is about 15746.7177532335. The cubic root of 247959120 is about 628.2416071724.

The spelling of 247959120 in words is "two hundred forty-seven million, nine hundred fifty-nine thousand, one hundred twenty".