466000600 has 144 divisors (see below), whose sum is σ = 1243748520. Its totient is φ = 161740800.

The previous prime is 466000597. The next prime is 466000603. The reversal of 466000600 is 6000664.

It is an interprime number because it is at equal distance from previous prime (466000597) and next prime (466000603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466000603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 574195 + ... + 575005.

Almost surely, 2^466000600 is an apocalyptic number.

466000600 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 466000600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621874260).

466000600 is an abundant number, since it is smaller than the sum of its proper divisors (777747920).

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

466000600 is a wasteful number, since it uses less digits than its factorization.

466000600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 466000600 is about 21587.0470421501. The cubic root of 466000600 is about 775.2863873938.

The spelling of 466000600 in words is "four hundred sixty-six million, six hundred", and thus it is an aban number.