463711402000 has 480 divisors, whose sum is σ = 1437315684480. Its totient is φ = 143068800000.

The previous prime is 463711401991. The next prime is 463711402027. The reversal of 463711402000 is 204117364.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 463711402000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108875871 + ... + 108880129.

It is an arithmetic number, because the mean of its divisors is an integer number (2994407676).

Almost surely, 2^463711402000 is an apocalyptic number.

463711402000 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 463711402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718657842240).

463711402000 is an abundant number, since it is smaller than the sum of its proper divisors (973604282480).

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

463711402000 is a wasteful number, since it uses less digits than its factorization.

463711402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

Adding to 463711402000 its reverse (204117364), we get a palindrome (463915519364).

The spelling of 463711402000 in words is "four hundred sixty-three billion, seven hundred eleven million, four hundred two thousand".