46668480 has 112 divisors (see below), whose sum is σ = 149559264. Its totient is φ = 12328960.

The previous prime is 46668473. The next prime is 46668481. The reversal of 46668480 is 8486664.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (46668481) 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, 165940 + ... + 166220.

Almost surely, 2^46668480 is an apocalyptic number.

46668480 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 46668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74779632).

46668480 is an abundant number, since it is smaller than the sum of its proper divisors (102890784).

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

46668480 is a wasteful number, since it uses less digits than its factorization.

46668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 46668480 is about 6831.4332317604. The cubic root of 46668480 is about 360.0320959038.

The spelling of 46668480 in words is "forty-six million, six hundred sixty-eight thousand, four hundred eighty".