46612880 has 40 divisors (see below), whose sum is σ = 109191672. Its totient is φ = 18504704.

The previous prime is 46612847. The next prime is 46612897. The reversal of 46612880 is 8821664.

It can be written as a sum of positive squares in 4 ways, for example, as 861184 + 45751696 = 928^2 + 6764^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 46612880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8834 + ... + 13086.

Almost surely, 2^46612880 is an apocalyptic number.

46612880 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 46612880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54595836).

46612880 is an abundant number, since it is smaller than the sum of its proper divisors (62578792).

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

46612880 is a wasteful number, since it uses less digits than its factorization.

46612880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4397 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 46612880 is about 6827.3625947360. The cubic root of 46612880 is about 359.8890604660.

The spelling of 46612880 in words is "forty-six million, six hundred twelve thousand, eight hundred eighty".