461969120 has 24 divisors (see below), whose sum is σ = 1091402424. Its totient is φ = 184787584.

The previous prime is 461969077. The next prime is 461969143. The reversal of 461969120 is 21969164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1443494 + ... + 1443813.

It is an arithmetic number, because the mean of its divisors is an integer number (45475101).

Almost surely, 2^461969120 is an apocalyptic number.

461969120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461969120 is an abundant number, since it is smaller than the sum of its proper divisors (629433304).

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

461969120 is a wasteful number, since it uses less digits than its factorization.

461969120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2887322 (or 2887314 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 461969120 is about 21493.4669143905. The cubic root of 461969120 is about 773.0441811043.

The spelling of 461969120 in words is "four hundred sixty-one million, nine hundred sixty-nine thousand, one hundred twenty".