46784736 has 96 divisors (see below), whose sum is σ = 137682720. Its totient is φ = 15455232.

The previous prime is 46784729. The next prime is 46784741. The reversal of 46784736 is 63748764.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 46784691 and 46784700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149316 + ... + 149628.

It is an arithmetic number, because the mean of its divisors is an integer number (1434195).

Almost surely, 2^46784736 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 46784736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68841360).

46784736 is an abundant number, since it is smaller than the sum of its proper divisors (90897984).

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

46784736 is a wasteful number, since it uses less digits than its factorization.

46784736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 491 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 46784736 is about 6839.9368418137. The cubic root of 46784736 is about 360.3308070366.

The spelling of 46784736 in words is "forty-six million, seven hundred eighty-four thousand, seven hundred thirty-six".