247920000 has 160 divisors (see below), whose sum is σ = 823705080. Its totient is φ = 66048000.

The previous prime is 247919981. The next prime is 247920011. The reversal of 247920000 is 29742.

247920000 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 (160).

It is a super-2 number, since 2×247920000² = 122928652800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239484 + ... + 240516.

Almost surely, 2^247920000 is an apocalyptic number.

247920000 is a gapful number since it is divisible by the number (20) 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 247920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411852540).

247920000 is an abundant number, since it is smaller than the sum of its proper divisors (575785080).

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

247920000 is an equidigital number, since it uses as much as digits as its factorization.

247920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 247920000 is about 15745.4755406117. The cubic root of 247920000 is about 628.2085666397.

Adding to 247920000 its reverse (29742), we get a palindrome (247949742).

The spelling of 247920000 in words is "two hundred forty-seven million, nine hundred twenty thousand".