463862400000 has 528 divisors, whose sum is σ = 1559458313280. Its totient is φ = 122572800000.

The previous prime is 463862399951. The next prime is 463862400007. The reversal of 463862400000 is 4268364.

It is a super-2 number, since 2×463862400000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463862400007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2025599886 + ... + 2025600114.

Almost surely, 2^463862400000 is an apocalyptic number.

463862400000 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 463862400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779729156640).

463862400000 is an abundant number, since it is smaller than the sum of its proper divisors (1095595913280).

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

463862400000 is an equidigital number, since it uses as much as digits as its factorization.

463862400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 463862400000 its reverse (4268364), we get a palindrome (463866668364).

The spelling of 463862400000 in words is "four hundred sixty-three billion, eight hundred sixty-two million, four hundred thousand".