46682320 has 40 divisors (see below), whose sum is σ = 109196136. Its totient is φ = 18559488.

The previous prime is 46682299. The next prime is 46682351. The reversal of 46682320 is 2328664.

It can be written as a sum of positive squares in 4 ways, for example, as 28772496 + 17909824 = 5364^2 + 4232^2 .

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

It is a congruent number.

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, 12154 + ... + 15526.

Almost surely, 2^46682320 is an apocalyptic number.

46682320 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 46682320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54598068).

46682320 is an abundant number, since it is smaller than the sum of its proper divisors (62513816).

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

46682320 is a wasteful number, since it uses less digits than its factorization.

46682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3553 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 46682320 is about 6832.4461212658. The cubic root of 46682320 is about 360.0676827476.

The spelling of 46682320 in words is "forty-six million, six hundred eighty-two thousand, three hundred twenty".