50466816 has 117 divisors (see below), whose sum is σ = 149821581. Its totient is φ = 16367616.

The previous prime is 50466811. The next prime is 50466839. The reversal of 50466816 is 61866405.

The square root of 50466816 is 7104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45158400 + 5308416 = 6720^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (50466811) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1363950 + ... + 1363986.

Almost surely, 2^50466816 is an apocalyptic number.

50466816 is the 7104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50466816

50466816 is an abundant number, since it is smaller than the sum of its proper divisors (99354765).

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

50466816 is an equidigital number, since it uses as much as digits as its factorization.

50466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 50466816 is about 369.5461100942.

Multiplying 50466816 by its sum of digits (36), we get a square (1816805376 = 42624²).

50466816 divided by its sum of digits (36) gives a square (1401856 = 1184²).

The spelling of 50466816 in words is "fifty million, four hundred sixty-six thousand, eight hundred sixteen".