461141040 has 80 divisors (see below), whose sum is σ = 1445666400. Its totient is φ = 121583616.

The previous prime is 461140993. The next prime is 461141047. The reversal of 461141040 is 40141164.

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

It is a junction number, because it is equal to n+sod(n) for n = 461140998 and 461141016.

It is not an unprimeable number, because it can be changed into a prime (461141047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10566 + ... + 32154.

It is an arithmetic number, because the mean of its divisors is an integer number (18070830).

Almost surely, 2^461141040 is an apocalyptic number.

461141040 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 461141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722833200).

461141040 is an abundant number, since it is smaller than the sum of its proper divisors (984525360).

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

461141040 is a wasteful number, since it uses less digits than its factorization.

461141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21694 (or 21688 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 461141040 is about 21474.1947462530. The cubic root of 461141040 is about 772.5820107526.

The spelling of 461141040 in words is "four hundred sixty-one million, one hundred forty-one thousand, forty".