462560241 has 32 divisors (see below), whose sum is σ = 726405120. Its totient is φ = 258120000.

The previous prime is 462560239. The next prime is 462560261. The reversal of 462560241 is 142065264.

It is not a de Polignac number, because 462560241 - 2¹ = 462560239 is a prime.

It is a super-3 number, since 3×462560241³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 462560199 and 462560208.

It is not an unprimeable number, because it can be changed into a prime (462560201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204366 + ... + 206616.

It is an arithmetic number, because the mean of its divisors is an integer number (22700160).

Almost surely, 2^462560241 is an apocalyptic number.

It is an amenable number.

462560241 is a deficient number, since it is larger than the sum of its proper divisors (263844879).

462560241 is a wasteful number, since it uses less digits than its factorization.

462560241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757.

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 462560241 is about 21507.2136968041. The cubic root of 462560241 is about 773.3737614905.

The spelling of 462560241 in words is "four hundred sixty-two million, five hundred sixty thousand, two hundred forty-one".