461760460 has 48 divisors (see below), whose sum is σ = 1173420864. Its totient is φ = 149004288.

The previous prime is 461760427. The next prime is 461760463. The reversal of 461760460 is 64067164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (461760463) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 94629 + ... + 99388.

It is an arithmetic number, because the mean of its divisors is an integer number (24446268).

Almost surely, 2^461760460 is an apocalyptic number.

It is an amenable number.

461760460 is an abundant number, since it is smaller than the sum of its proper divisors (711660404).

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

461760460 is a wasteful number, since it uses less digits than its factorization.

461760460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194050 (or 194048 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 461760460 is about 21488.6123330475. The cubic root of 461760460 is about 772.9277752787.

The spelling of 461760460 in words is "four hundred sixty-one million, seven hundred sixty thousand, four hundred sixty".