46002816 has 224 divisors, whose sum is σ = 150506100. Its totient is φ = 13934592.

The previous prime is 46002797. The next prime is 46002823. The reversal of 46002816 is 61820064.

46002816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44836416 + 1166400 = 6696^2 + 1080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 46002816.

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 27 ways as a sum of consecutive naturals, for example, 1586290 + ... + 1586318.

Almost surely, 2^46002816 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 46002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75253050).

46002816 is an abundant number, since it is smaller than the sum of its proper divisors (104503284).

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

46002816 is an equidigital number, since it uses as much as digits as its factorization.

46002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 46002816 is about 6782.5375782225. The cubic root of 46002816 is about 358.3120984472.

The spelling of 46002816 in words is "forty-six million, two thousand, eight hundred sixteen".