247201920 has 192 divisors, whose sum is σ = 975723840. Its totient is φ = 56494080.

The previous prime is 247201897. The next prime is 247201931. The reversal of 247201920 is 29102742.

247201920 is a `hidden beast` number, since 2 + 472 + 0 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×247201920² = 122217578503372800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37255 + ... + 43385.

It is an arithmetic number, because the mean of its divisors is an integer number (5081895).

Almost surely, 2^247201920 is an apocalyptic number.

247201920 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 247201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487861920).

247201920 is an abundant number, since it is smaller than the sum of its proper divisors (728521920).

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

247201920 is a wasteful number, since it uses less digits than its factorization.

247201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 247201920 is about 15722.6562641304. The cubic root of 247201920 is about 627.6014618769.

The spelling of 247201920 in words is "two hundred forty-seven million, two hundred one thousand, nine hundred twenty".