466505000 has 80 divisors (see below), whose sum is σ = 1177263780. Its totient is φ = 172224000.

The previous prime is 466504999. The next prime is 466505009. The reversal of 466505000 is 505664.

It can be written as a sum of positive squares in 10 ways, for example, as 21548164 + 444956836 = 4642^2 + 21094^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466505009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61412 + ... + 68588.

Almost surely, 2^466505000 is an apocalyptic number.

466505000 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 466505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588631890).

466505000 is an abundant number, since it is smaller than the sum of its proper divisors (710758780).

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

466505000 is a wasteful number, since it uses less digits than its factorization.

466505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 466505000 is about 21598.7268143287. The cubic root of 466505000 is about 775.5660103856.

The spelling of 466505000 in words is "four hundred sixty-six million, five hundred five thousand".