46782220 has 48 divisors (see below), whose sum is σ = 103017600. Its totient is φ = 17821440.

The previous prime is 46782209. The next prime is 46782233. The reversal of 46782220 is 2228764.

46782220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46782220² = 4377152216256800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45310 + ... + 46330.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 2^46782220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46782220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51508800).

46782220 is an abundant number, since it is smaller than the sum of its proper divisors (56235380).

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

46782220 is a wasteful number, since it uses less digits than its factorization.

46782220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 46782220 is about 6839.7529195140. The cubic root of 46782220 is about 360.3243476039.

The spelling of 46782220 in words is "forty-six million, seven hundred eighty-two thousand, two hundred twenty".