461121936 has 160 divisors (see below), whose sum is σ = 1343247360. Its totient is φ = 135129600.

The previous prime is 461121911. The next prime is 461121937. The reversal of 461121936 is 639121164.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 461121897 and 461121906.

It is not an unprimeable number, because it can be changed into a prime (461121937) 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, 3317355 + ... + 3317493.

It is an arithmetic number, because the mean of its divisors is an integer number (8395296).

Almost surely, 2^461121936 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 461121936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671623680).

461121936 is an abundant number, since it is smaller than the sum of its proper divisors (882125424).

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

461121936 is a wasteful number, since it uses less digits than its factorization.

461121936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 461121936 is about 21473.7499286920. The cubic root of 461121936 is about 772.5713418471.

The spelling of 461121936 in words is "four hundred sixty-one million, one hundred twenty-one thousand, nine hundred thirty-six".