466321680 has 240 divisors, whose sum is σ = 1728889344. Its totient is φ = 111697920.

The previous prime is 466321657. The next prime is 466321699. The reversal of 466321680 is 86123664.

466321680 is a `hidden beast` number, since 4 + 6 + 632 + 16 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 767937 + ... + 768543.

Almost surely, 2^466321680 is an apocalyptic number.

466321680 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 466321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864444672).

466321680 is an abundant number, since it is smaller than the sum of its proper divisors (1262567664).

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

466321680 is a wasteful number, since it uses less digits than its factorization.

466321680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 466321680 is about 21594.4826286716. The cubic root of 466321680 is about 775.4644070527.

The spelling of 466321680 in words is "four hundred sixty-six million, three hundred twenty-one thousand, six hundred eighty".