461503120 has 40 divisors (see below), whose sum is σ = 1155535416. Its totient is φ = 170400768.

The previous prime is 461503117. The next prime is 461503151. The reversal of 461503120 is 21305164.

It can be written as a sum of positive squares in 4 ways, for example, as 21678336 + 439824784 = 4656^2 + 20972^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 461503091 and 461503100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220837 + ... + 222916.

Almost surely, 2^461503120 is an apocalyptic number.

461503120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461503120 is an abundant number, since it is smaller than the sum of its proper divisors (694032296).

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

461503120 is a wasteful number, since it uses less digits than its factorization.

461503120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443779 (or 443773 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 461503120 is about 21482.6236758921. The cubic root of 461503120 is about 772.7841638810.

Adding to 461503120 its reverse (21305164), we get a palindrome (482808284).

The spelling of 461503120 in words is "four hundred sixty-one million, five hundred three thousand, one hundred twenty".