427621041 has 27 divisors (see below), whose sum is σ = 633573057. Its totient is φ = 277925760.

The previous prime is 427621031. The next prime is 427621069. The reversal of 427621041 is 140126724.

The square root of 427621041 is 20679.

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 386712225 + 40908816 = 19665^2 + 6396^2 .

It is not a de Polignac number, because 427621041 - 2¹⁹ = 427096753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 427620996 and 427621014.

It is not an unprimeable number, because it can be changed into a prime (427621031) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3784201 + ... + 3784313.

Almost surely, 2^427621041 is an apocalyptic number.

427621041 is the 20679-th square number.

427621041 is the 10340-th centered octagonal number.

It is an amenable number.

427621041 is a deficient number, since it is larger than the sum of its proper divisors (205952016).

427621041 is an equidigital number, since it uses as much as digits as its factorization.

427621041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The cubic root of 427621041 is about 753.3897180019.

Adding to 427621041 its reverse (140126724), we get a palindrome (567747765).

The spelling of 427621041 in words is "four hundred twenty-seven million, six hundred twenty-one thousand, forty-one".