461261493 has 128 divisors (see below), whose sum is σ = 933396480. Its totient is φ = 217728000.

The previous prime is 461261483. The next prime is 461261497. The reversal of 461261493 is 394162164.

461261493 is a `hidden beast` number, since 46 + 126 + 1 + 493 = 666.

It is not a de Polignac number, because 461261493 - 2¹² = 461257397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461261497) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1095423 + ... + 1095843.

It is an arithmetic number, because the mean of its divisors is an integer number (7292160).

Almost surely, 2^461261493 is an apocalyptic number.

It is an amenable number.

461261493 is an abundant number, since it is smaller than the sum of its proper divisors (472134987).

461261493 is a wasteful number, since it uses less digits than its factorization.

461261493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 461261493 is about 21476.9991618941. Note that the first 3 decimals coincide. The cubic root of 461261493 is about 772.6492726901.

Adding to 461261493 its sum of digits (36), we get a square (461261529 = 21477²).

The spelling of 461261493 in words is "four hundred sixty-one million, two hundred sixty-one thousand, four hundred ninety-three".