427931847225 has 45 divisors (see below), whose sum is σ = 792732240157. Its totient is φ = 228214618560.

The previous prime is 427931847223. The next prime is 427931847229. The reversal of 427931847225 is 522748139724.

The square root of 427931847225 is 654165.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 70332631209 + 357599216016 = 265203^2 + 597996^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 427931847225 - 2¹ = 427931847223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (427931847223) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 29430157 + ... + 29444693.

Almost surely, 2^427931847225 is an apocalyptic number.

427931847225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

427931847225 is the 654165-th square number.

427931847225 is the 327083-rd centered octagonal number.

It is an amenable number.

427931847225 is a deficient number, since it is larger than the sum of its proper divisors (364800392932).

427931847225 is an frugal number, since it uses more digits than its factorization.

427931847225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29096 (or 14545 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 427931847225 in words is "four hundred twenty-seven billion, nine hundred thirty-one million, eight hundred forty-seven thousand, two hundred twenty-five".