463868460 has 144 divisors (see below), whose sum is σ = 1625393952. Its totient is φ = 105830400.

The previous prime is 463868459. The next prime is 463868467. The reversal of 463868460 is 64868364.

463868460 is a `hidden beast` number, since 4 + 638 + 6 + 8 + 4 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (463868467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26770 + ... + 40550.

It is an arithmetic number, because the mean of its divisors is an integer number (11287458).

Almost surely, 2^463868460 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 463868460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812696976).

463868460 is an abundant number, since it is smaller than the sum of its proper divisors (1161525492).

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

463868460 is a wasteful number, since it uses less digits than its factorization.

463868460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13824 (or 13819 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 463868460 is about 21537.6057165136. The cubic root of 463868460 is about 774.1021638674.

The spelling of 463868460 in words is "four hundred sixty-three million, eight hundred sixty-eight thousand, four hundred sixty".