466284000 has 576 divisors, whose sum is σ = 1945000512. Its totient is φ = 96768000.

The previous prime is 466283999. The next prime is 466284001. The reversal of 466284000 is 482664.

It is an interprime number because it is at equal distance from previous prime (466283999) and next prime (466284001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466284001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7643970 + ... + 7644030.

It is an arithmetic number, because the mean of its divisors is an integer number (3376737).

Almost surely, 2^466284000 is an apocalyptic number.

466284000 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 466284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972500256).

466284000 is an abundant number, since it is smaller than the sum of its proper divisors (1478716512).

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

466284000 is a wasteful number, since it uses less digits than its factorization.

466284000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 466284000 is about 21593.6101659727. The cubic root of 466284000 is about 775.4435199790.

The spelling of 466284000 in words is "four hundred sixty-six million, two hundred eighty-four thousand".