466410000 has 200 divisors, whose sum is σ = 1721498944. Its totient is φ = 106560000.

The previous prime is 466409989. The next prime is 466410001. The reversal of 466410000 is 14664.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (466410001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208890 + ... + 211110.

Almost surely, 2^466410000 is an apocalyptic number.

466410000 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 466410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860749472).

466410000 is an abundant number, since it is smaller than the sum of its proper divisors (1255088944).

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

466410000 is a wasteful number, since it uses less digits than its factorization.

466410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 466410000 is about 21596.5274986513. The cubic root of 466410000 is about 775.5133608800.

Adding to 466410000 its reverse (14664), we get a palindrome (466424664).

The spelling of 466410000 in words is "four hundred sixty-six million, four hundred ten thousand".