463086140 has 96 divisors (see below), whose sum is σ = 1123476480. Its totient is φ = 158681600.

The previous prime is 463086121. The next prime is 463086187. The reversal of 463086140 is 41680364.

It is a junction number, because it is equal to n+sod(n) for n = 463086097 and 463086106.

It is a congruent number.

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, 358616 + ... + 359904.

It is an arithmetic number, because the mean of its divisors is an integer number (11702880).

Almost surely, 2^463086140 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 463086140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561738240).

463086140 is an abundant number, since it is smaller than the sum of its proper divisors (660390340).

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

463086140 is a wasteful number, since it uses less digits than its factorization.

463086140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 463086140 is about 21519.4363309079. The cubic root of 463086140 is about 773.6667413108. Note that the first 3 decimals are identical.

The spelling of 463086140 in words is "four hundred sixty-three million, eighty-six thousand, one hundred forty".