461222120 has 32 divisors (see below), whose sum is σ = 1063064520. Its totient is φ = 179988480.

The previous prime is 461222117. The next prime is 461222147. The reversal of 461222120 is 21222164.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 280964644 + 180257476 = 16762^2 + 13426^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 461222092 and 461222101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138977 + ... + 142256.

Almost surely, 2^461222120 is an apocalyptic number.

461222120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461222120 is an abundant number, since it is smaller than the sum of its proper divisors (601842400).

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

461222120 is a wasteful number, since it uses less digits than its factorization.

461222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281285 (or 281281 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 461222120 is about 21476.0825105511. The cubic root of 461222120 is about 772.6272877742.

Adding to 461222120 its reverse (21222164), we get a palindrome (482444284).

The spelling of 461222120 in words is "four hundred sixty-one million, two hundred twenty-two thousand, one hundred twenty".