46965744 has 200 divisors, whose sum is σ = 161323008. Its totient is φ = 12908160.

The previous prime is 46965733. The next prime is 46965797. The reversal of 46965744 is 44756964.

46965744 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 2×46965744² = 4411562218947072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (725760) is a multiple of the sum of its prime divisors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 46965744.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 281149 + ... + 281315.

Almost surely, 2^46965744 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 46965744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80661504).

46965744 is an abundant number, since it is smaller than the sum of its proper divisors (114357264).

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

46965744 is a wasteful number, since it uses less digits than its factorization.

46965744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 210 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 46965744 is about 6853.1557694248. The cubic root of 46965744 is about 360.7949101466.

It can be divided in two parts, 4696 and 5744, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 46965744 in words is "forty-six million, nine hundred sixty-five thousand, seven hundred forty-four".