46656001 has 24 divisors (see below), whose sum is σ = 57912000. Its totient is φ = 36788256.

The previous prime is 46655981. The next prime is 46656011. The reversal of 46656001 is 10065664.

It is a Cunningham number, because it is equal to 360³+1.

It is not a de Polignac number, because 46656001 - 2⁵ = 46655969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (46656011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93250 + ... + 93748.

It is an arithmetic number, because the mean of its divisors is an integer number (2413000).

Almost surely, 2^46656001 is an apocalyptic number.

It is an amenable number.

46656001 is a deficient number, since it is larger than the sum of its proper divisors (11255999).

46656001 is a wasteful number, since it uses less digits than its factorization.

46656001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 46656001 is about 6830.5198191646. The cubic root of 46656001 is about 360.0000025720. Note that the first 5 decimals are identical.

The spelling of 46656001 in words is "forty-six million, six hundred fifty-six thousand, one".