46382896 has 40 divisors (see below), whose sum is σ = 105104384. Its totient is φ = 19414080.

The previous prime is 46382887. The next prime is 46382899. The reversal of 46382896 is 69828364.

It is a happy number.

46382896 is a nontrivial binomial coefficient, being equal to C(9632, 2).

It is not an unprimeable number, because it can be changed into a prime (46382899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 9631.

Almost surely, 2^46382896 is an apocalyptic number.

46382896 is the 9631-st triangular number and also the 4816-th hexagonal number.

46382896 is the 3211-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46382896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52552192).

46382896 is an abundant number, since it is smaller than the sum of its proper divisors (58721488).

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

46382896 is a wasteful number, since it uses less digits than its factorization.

46382896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9689 (or 9683 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 46382896 is about 6810.4989538212. The cubic root of 46382896 is about 359.2961969723.

It can be divided in two parts, 46382 and 896, that added together give a triangular number (47278 = T₃₀₇).

The spelling of 46382896 in words is "forty-six million, three hundred eighty-two thousand, eight hundred ninety-six".