461224536 has 128 divisors (see below), whose sum is σ = 1242362880. Its totient is φ = 142442496.

The previous prime is 461224523. The next prime is 461224553. The reversal of 461224536 is 635422164.

It is a junction number, because it is equal to n+sod(n) for n = 461224497 and 461224506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794520 + ... + 1794776.

It is an arithmetic number, because the mean of its divisors is an integer number (9705960).

Almost surely, 2^461224536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461224536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621181440).

461224536 is an abundant number, since it is smaller than the sum of its proper divisors (781138344).

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

461224536 is a wasteful number, since it uses less digits than its factorization.

461224536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 461224536 is about 21476.1387590973. The cubic root of 461224536 is about 772.6286368453.

The spelling of 461224536 in words is "four hundred sixty-one million, two hundred twenty-four thousand, five hundred thirty-six".