461508640 has 48 divisors (see below), whose sum is σ = 1096682328. Its totient is φ = 183525376.

The previous prime is 461508631. The next prime is 461508653. The reversal of 461508640 is 46805164.

It can be written as a sum of positive squares in 4 ways, for example, as 460875024 + 633616 = 21468^2 + 796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 461508596 and 461508605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19344 + ... + 36016.

Almost surely, 2^461508640 is an apocalyptic number.

461508640 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 461508640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548341164).

461508640 is an abundant number, since it is smaller than the sum of its proper divisors (635173688).

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

461508640 is a wasteful number, since it uses less digits than its factorization.

461508640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16861 (or 16853 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 461508640 is about 21482.7521514353. The cubic root of 461508640 is about 772.7872449375.

The spelling of 461508640 in words is "four hundred sixty-one million, five hundred eight thousand, six hundred forty".