427653241 has 12 divisors (see below), whose sum is σ = 456060780. Its totient is φ = 400928000.

The previous prime is 427653229. The next prime is 427653257. The reversal of 427653241 is 142356724.

It can be written as a sum of positive squares in 6 ways, for example, as 52417600 + 375235641 = 7240^2 + 19371^2 .

It is not a de Polignac number, because 427653241 - 2⁵ = 427653209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 427653197 and 427653206.

It is not an unprimeable number, because it can be changed into a prime (427653211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74991 + ... + 80491.

It is an arithmetic number, because the mean of its divisors is an integer number (38005065).

Almost surely, 2^427653241 is an apocalyptic number.

It is an amenable number.

427653241 is a deficient number, since it is larger than the sum of its proper divisors (28407539).

427653241 is a wasteful number, since it uses less digits than its factorization.

427653241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5804 (or 5787 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 427653241 is about 20679.7785529730. The cubic root of 427653241 is about 753.4086276888.

The spelling of 427653241 in words is "four hundred twenty-seven million, six hundred fifty-three thousand, two hundred forty-one".