461466000 has 240 divisors, whose sum is σ = 1665750528. Its totient is φ = 118944000.

The previous prime is 461465993. The next prime is 461466007. The reversal of 461466000 is 664164.

461466000 is a `hidden beast` number, since 46 + 14 + 6 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461465993) and next prime (461466007).

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

It is not an unprimeable number, because it can be changed into a prime (461466007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557587 + ... + 558413.

Almost surely, 2^461466000 is an apocalyptic number.

461466000 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 461466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832875264).

461466000 is an abundant number, since it is smaller than the sum of its proper divisors (1204284528).

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

461466000 is a wasteful number, since it uses less digits than its factorization.

461466000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 461466000 is about 21481.7597044562. The cubic root of 461466000 is about 772.7634442541.

The spelling of 461466000 in words is "four hundred sixty-one million, four hundred sixty-six thousand".