466260000 has 240 divisors, whose sum is σ = 1613858400. Its totient is φ = 117504000.

The previous prime is 466259971. The next prime is 466260001. The reversal of 466260000 is 62664.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (466260001) 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 39 ways as a sum of consecutive naturals, for example, 1139796 + ... + 1140204.

It is an arithmetic number, because the mean of its divisors is an integer number (6724410).

Almost surely, 2^466260000 is an apocalyptic number.

466260000 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 466260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806929200).

466260000 is an abundant number, since it is smaller than the sum of its proper divisors (1147598400).

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

466260000 is a wasteful number, since it uses less digits than its factorization.

466260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 466260000 is about 21593.0544388699. The cubic root of 466260000 is about 775.4302155237.

The spelling of 466260000 in words is "four hundred sixty-six million, two hundred sixty thousand".