461013120 has 160 divisors (see below), whose sum is σ = 1646546220. Its totient is φ = 122923008.

The previous prime is 461013107. The next prime is 461013139. The reversal of 461013120 is 21310164.

It is a happy number.

461013120 is a `hidden beast` number, since 4 + 610 + 1 + 31 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 427000896 + 34012224 = 20664^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 461013093 and 461013102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47394 + ... + 56286.

Almost surely, 2^461013120 is an apocalyptic number.

461013120 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 461013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823273110).

461013120 is an abundant number, since it is smaller than the sum of its proper divisors (1185533100).

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

461013120 is an equidigital number, since it uses as much as digits as its factorization.

461013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8903 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 461013120 is about 21471.2160810700. The cubic root of 461013120 is about 772.5105663556.

Adding to 461013120 its reverse (21310164), we get a palindrome (482323284).

The spelling of 461013120 in words is "four hundred sixty-one million, thirteen thousand, one hundred twenty".