460257841 has 16 divisors (see below), whose sum is σ = 479278800. Its totient is φ = 441676800.

The previous prime is 460257827. The next prime is 460257851. The reversal of 460257841 is 148752064.

It can be written as a sum of positive squares in 8 ways, for example, as 193098816 + 267159025 = 13896^2 + 16345^2 .

It is a cyclic number.

It is not a de Polignac number, because 460257841 - 2¹⁹ = 459733553 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 460257841.

It is not an unprimeable number, because it can be changed into a prime (460257821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 808605 + ... + 809173.

It is an arithmetic number, because the mean of its divisors is an integer number (29954925).

Almost surely, 2^460257841 is an apocalyptic number.

460257841 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

460257841 is a deficient number, since it is larger than the sum of its proper divisors (19020959).

460257841 is a wasteful number, since it uses less digits than its factorization.

460257841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900.

The product of its (nonzero) digits is 53760, while the sum is 37.

The square root of 460257841 is about 21453.6206967495. The cubic root of 460257841 is about 772.0884670692.

The spelling of 460257841 in words is "four hundred sixty million, two hundred fifty-seven thousand, eight hundred forty-one".