461413120 has 144 divisors (see below), whose sum is σ = 1318625280. Its totient is φ = 151252992.

The previous prime is 461413067. The next prime is 461413153. The reversal of 461413120 is 21314164.

It is a junction number, because it is equal to n+sod(n) for n = 461413091 and 461413100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204961 + ... + 207199.

It is an arithmetic number, because the mean of its divisors is an integer number (9157120).

Almost surely, 2^461413120 is an apocalyptic number.

461413120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659312640).

461413120 is an abundant number, since it is smaller than the sum of its proper divisors (857212160).

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

461413120 is a wasteful number, since it uses less digits than its factorization.

461413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 461413120 is about 21480.5288575491. The cubic root of 461413120 is about 772.7339257978.

Adding to 461413120 its reverse (21314164), we get a palindrome (482727284).

The spelling of 461413120 in words is "four hundred sixty-one million, four hundred thirteen thousand, one hundred twenty".