466420000 has 60 divisors (see below), whose sum is σ = 1147512366. Its totient is φ = 186560000.

The previous prime is 466419991. The next prime is 466420027. The reversal of 466420000 is 24664.

It can be written as a sum of positive squares in 5 ways, for example, as 3825936 + 462594064 = 1956^2 + 21508^2 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 8340 + ... + 31660.

Almost surely, 2^466420000 is an apocalyptic number.

466420000 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 466420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573756183).

466420000 is an abundant number, since it is smaller than the sum of its proper divisors (681092366).

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

466420000 is an equidigital number, since it uses as much as digits as its factorization.

466420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23351 (or 23328 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 466420000 is about 21596.7590161117. The cubic root of 466420000 is about 775.5189032699.

Adding to 466420000 its reverse (24664), we get a palindrome (466444664).

The spelling of 466420000 in words is "four hundred sixty-six million, four hundred twenty thousand".