461993436 has 48 divisors (see below), whose sum is σ = 1260806400. Its totient is φ = 145892016.

The previous prime is 461993431. The next prime is 461993473. The reversal of 461993436 is 634399164.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 461993391 and 461993400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461993431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110520 + ... + 114623.

It is an arithmetic number, because the mean of its divisors is an integer number (26266800).

Almost surely, 2^461993436 is an apocalyptic number.

It is an amenable number.

461993436 is an abundant number, since it is smaller than the sum of its proper divisors (798812964).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461993436 is a wasteful number, since it uses less digits than its factorization.

461993436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225175 (or 225167 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 461993436 is about 21494.0325672034. The cubic root of 461993436 is about 773.0577440690.

The spelling of 461993436 in words is "four hundred sixty-one million, nine hundred ninety-three thousand, four hundred thirty-six".