461438640 has 160 divisors (see below), whose sum is σ = 1711765440. Its totient is φ = 113577984.

The previous prime is 461438629. The next prime is 461438657. The reversal of 461438640 is 46834164.

461438640 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 3 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 461438595 and 461438604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19864 + ... + 36296.

It is an arithmetic number, because the mean of its divisors is an integer number (10698534).

Almost surely, 2^461438640 is an apocalyptic number.

461438640 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 461438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855882720).

461438640 is an abundant number, since it is smaller than the sum of its proper divisors (1250326800).

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

461438640 is a wasteful number, since it uses less digits than its factorization.

461438640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16468 (or 16456 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 461438640 is about 21481.1228756785. The cubic root of 461438640 is about 772.7481717489.

The spelling of 461438640 in words is "four hundred sixty-one million, four hundred thirty-eight thousand, six hundred forty".