466494000 has 320 divisors, whose sum is σ = 1782743040. Its totient is φ = 102681600.

The previous prime is 466493939. The next prime is 466494011. The reversal of 466494000 is 494664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217809 + ... + 1218191.

It is an arithmetic number, because the mean of its divisors is an integer number (5571072).

Almost surely, 2^466494000 is an apocalyptic number.

466494000 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 466494000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891371520).

466494000 is an abundant number, since it is smaller than the sum of its proper divisors (1316249040).

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

466494000 is a wasteful number, since it uses less digits than its factorization.

466494000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 466494000 is about 21598.4721681882. The cubic root of 466494000 is about 775.5599144930.

The spelling of 466494000 in words is "four hundred sixty-six million, four hundred ninety-four thousand".