461756240 has 80 divisors (see below), whose sum is σ = 1232867520. Its totient is φ = 159068160.

The previous prime is 461756219. The next prime is 461756279. The reversal of 461756240 is 42657164.

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

It is a self number, because there is not a number n which added to its sum of digits gives 461756240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2912 + ... + 30528.

It is an arithmetic number, because the mean of its divisors is an integer number (15410844).

Almost surely, 2^461756240 is an apocalyptic number.

461756240 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 461756240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616433760).

461756240 is an abundant number, since it is smaller than the sum of its proper divisors (771111280).

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

461756240 is a wasteful number, since it uses less digits than its factorization.

461756240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27660 (or 27654 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 461756240 is about 21488.5141412802. The cubic root of 461756240 is about 772.9254206920.

The spelling of 461756240 in words is "four hundred sixty-one million, seven hundred fifty-six thousand, two hundred forty".