461366320 has 80 divisors (see below), whose sum is σ = 1116178560. Its totient is φ = 177196032.

The previous prime is 461366309. The next prime is 461366327. The reversal of 461366320 is 23663164.

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

It is not an unprimeable number, because it can be changed into a prime (461366327) 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, 232854 + ... + 234826.

It is an arithmetic number, because the mean of its divisors is an integer number (13952232).

Almost surely, 2^461366320 is an apocalyptic number.

461366320 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 461366320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558089280).

461366320 is an abundant number, since it is smaller than the sum of its proper divisors (654812240).

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

461366320 is a wasteful number, since it uses less digits than its factorization.

461366320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 461366320 is about 21479.4394712711. The cubic root of 461366320 is about 772.7077994128.

The spelling of 461366320 in words is "four hundred sixty-one million, three hundred sixty-six thousand, three hundred twenty".