461440980 has 432 divisors, whose sum is σ = 1899241344. Its totient is φ = 88058880.

The previous prime is 461440943. The next prime is 461440981. The reversal of 461440980 is 89044164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461440981) 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 143 ways as a sum of consecutive naturals, for example, 2342242 + ... + 2342438.

It is an arithmetic number, because the mean of its divisors is an integer number (4396392).

Almost surely, 2^461440980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461440980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949620672).

461440980 is an abundant number, since it is smaller than the sum of its proper divisors (1437800364).

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

461440980 is a wasteful number, since it uses less digits than its factorization.

461440980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 461440980 is about 21481.1773420360. The cubic root of 461440980 is about 772.7494779736.

The spelling of 461440980 in words is "four hundred sixty-one million, four hundred forty thousand, nine hundred eighty".