461465440 has 48 divisors (see below), whose sum is σ = 1095459120. Its totient is φ = 183697920.

The previous prime is 461465437. The next prime is 461465449. The reversal of 461465440 is 44564164.

It is a junction number, because it is equal to n+sod(n) for n = 461465396 and 461465405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461465449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26926 + ... + 40594.

It is an arithmetic number, because the mean of its divisors is an integer number (22822065).

Almost surely, 2^461465440 is an apocalyptic number.

461465440 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 461465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547729560).

461465440 is an abundant number, since it is smaller than the sum of its proper divisors (633993680).

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

461465440 is a wasteful number, since it uses less digits than its factorization.

461465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13895 (or 13887 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 461465440 is about 21481.7466701383. The cubic root of 461465440 is about 772.7631316651.

The spelling of 461465440 in words is "four hundred sixty-one million, four hundred sixty-five thousand, four hundred forty".