46682496 has 144 divisors (see below), whose sum is σ = 156454740. Its totient is φ = 13321728.

The previous prime is 46682491. The next prime is 46682521. The reversal of 46682496 is 69428664.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46682491) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56035 + ... + 56861.

Almost surely, 2^46682496 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 46682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78227370).

46682496 is an abundant number, since it is smaller than the sum of its proper divisors (109772244).

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

46682496 is a wasteful number, since it uses less digits than its factorization.

46682496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 46682496 is about 6832.4590009747. The cubic root of 46682496 is about 360.0681352517.

The spelling of 46682496 in words is "forty-six million, six hundred eighty-two thousand, four hundred ninety-six".