46656240 has 80 divisors (see below), whose sum is σ = 149323776. Its totient is φ = 12038400.

The previous prime is 46656199. The next prime is 46656241. The reversal of 46656240 is 4265664.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46656241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4305 + ... + 10575.

Almost surely, 2^46656240 is an apocalyptic number.

46656240 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 46656240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74661888).

46656240 is an abundant number, since it is smaller than the sum of its proper divisors (102667536).

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

46656240 is a wasteful number, since it uses less digits than its factorization.

46656240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 46656240 is about 6830.5373141503. The cubic root of 46656240 is about 360.0006172829. Note that the first 3 decimals are identical.

The spelling of 46656240 in words is "forty-six million, six hundred fifty-six thousand, two hundred forty".