461163440 has 80 divisors (see below), whose sum is σ = 1165163520. Its totient is φ = 169102080.

The previous prime is 461163401. The next prime is 461163457. The reversal of 461163440 is 44361164.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 42227 + ... + 52013.

It is an arithmetic number, because the mean of its divisors is an integer number (14564544).

Almost surely, 2^461163440 is an apocalyptic number.

461163440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461163440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582581760).

461163440 is an abundant number, since it is smaller than the sum of its proper divisors (704000080).

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

461163440 is a wasteful number, since it uses less digits than its factorization.

461163440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9844 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 461163440 is about 21474.7162961470. The cubic root of 461163440 is about 772.5945199817.

The spelling of 461163440 in words is "four hundred sixty-one million, one hundred sixty-three thousand, four hundred forty".