461609360 has 20 divisors (see below), whose sum is σ = 1073241948. Its totient is φ = 184643712.

The previous prime is 461609353. The next prime is 461609399. The reversal of 461609360 is 63906164.

It can be written as a sum of positive squares in 2 ways, for example, as 48219136 + 413390224 = 6944^2 + 20332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 461609360.

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, 2884979 + ... + 2885138.

Almost surely, 2^461609360 is an apocalyptic number.

461609360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461609360 is an abundant number, since it is smaller than the sum of its proper divisors (611632588).

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

461609360 is a wasteful number, since it uses less digits than its factorization.

461609360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770130 (or 5770124 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 461609360 is about 21485.0962297124. The cubic root of 461609360 is about 772.8434587422.

The spelling of 461609360 in words is "four hundred sixty-one million, six hundred nine thousand, three hundred sixty".