462380368128 has 288 divisors, whose sum is σ = 1514394040320. Its totient is φ = 122228736000.

The previous prime is 462380368127. The next prime is 462380368181. The reversal of 462380368128 is 821863083264.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (462380368127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5349253 + ... + 5435003.

It is an arithmetic number, because the mean of its divisors is an integer number (5258312640).

Almost surely, 2^462380368128 is an apocalyptic number.

462380368128 is a gapful number since it is divisible by the number (48) 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 462380368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757197020160).

462380368128 is an abundant number, since it is smaller than the sum of its proper divisors (1052013672192).

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

462380368128 is a wasteful number, since it uses less digits than its factorization.

462380368128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85853 (or 85839 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 462380368128 in words is "four hundred sixty-two billion, three hundred eighty million, three hundred sixty-eight thousand, one hundred twenty-eight".