46618880 has 216 divisors, whose sum is σ = 143537856. Its totient is φ = 14192640.

The previous prime is 46618867. The next prime is 46618889. The reversal of 46618880 is 8881664.

It is not an unprimeable number, because it can be changed into a prime (46618889) 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, 1084139 + ... + 1084181.

Almost surely, 2^46618880 is an apocalyptic number.

46618880 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 46618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71768928).

46618880 is an abundant number, since it is smaller than the sum of its proper divisors (96918976).

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

46618880 is a wasteful number, since it uses less digits than its factorization.

46618880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 41.

The square root of 46618880 is about 6827.8019889273. The cubic root of 46618880 is about 359.9045014179.

The spelling of 46618880 in words is "forty-six million, six hundred eighteen thousand, eight hundred eighty".