466452883008 has 420 divisors, whose sum is σ = 1613530389900. Its totient is φ = 132852400128.

The previous prime is 466452882979. The next prime is 466452883009. The reversal of 466452883008 is 800388254664.

It can be written as a sum of positive squares in 2 ways, for example, as 83400819264 + 383052063744 = 288792^2 + 618912^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (466452883009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 85600668 + ... + 85606116.

Almost surely, 2^466452883008 is an apocalyptic number.

466452883008 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 466452883008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806765194950).

466452883008 is an abundant number, since it is smaller than the sum of its proper divisors (1147077506892).

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

466452883008 is a wasteful number, since it uses less digits than its factorization.

466452883008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824 (or 5798 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 466452883008 in words is "four hundred sixty-six billion, four hundred fifty-two million, eight hundred eighty-three thousand, eight".