462226006000 has 160 divisors (see below), whose sum is σ = 1247625789696. Its totient is φ = 164172960000.

The previous prime is 462226005977. The next prime is 462226006001. The reversal of 462226006000 is 600622264.

It is a self number, because there is not a number n which added to its sum of digits gives 462226006000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462226006001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701695 + ... + 1190305.

Almost surely, 2^462226006000 is an apocalyptic number.

462226006000 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 462226006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623812894848).

462226006000 is an abundant number, since it is smaller than the sum of its proper divisors (785399783696).

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

462226006000 is a wasteful number, since it uses less digits than its factorization.

462226006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488688 (or 488672 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 462226006000 its reverse (600622264), we get a palindrome (462826628264).

The spelling of 462226006000 in words is "four hundred sixty-two billion, two hundred twenty-six million, six thousand".