46200016 has 40 divisors (see below), whose sum is σ = 98062920. Its totient is φ = 20987904.

The previous prime is 46199969. The next prime is 46200043. The reversal of 46200016 is 61000264.

It can be written as a sum of positive squares in 4 ways, for example, as 25040016 + 21160000 = 5004^2 + 4600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46199966 and 46200002.

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 7 ways as a sum of consecutive naturals, for example, 4960 + ... + 10816.

It is an arithmetic number, because the mean of its divisors is an integer number (2451573).

Almost surely, 2^46200016 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 46200016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49031460).

46200016 is an abundant number, since it is smaller than the sum of its proper divisors (51862904).

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

46200016 is a wasteful number, since it uses less digits than its factorization.

46200016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 46200016 is about 6797.0593641662. The cubic root of 46200016 is about 358.8233600539.

The spelling of 46200016 in words is "forty-six million, two hundred thousand, sixteen".