42466816 has 120 divisors (see below), whose sum is σ = 105524496. Its totient is φ = 16711680.

The previous prime is 42466793. The next prime is 42466819. The reversal of 42466816 is 61866424.

It is a super-2 number, since 2×42466816² = 3606860922355712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42466819) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035756 + ... + 1035796.

Almost surely, 2^42466816 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 42466816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52762248).

42466816 is an abundant number, since it is smaller than the sum of its proper divisors (63057680).

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

42466816 is an equidigital number, since it uses as much as digits as its factorization.

42466816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 42466816 is about 6516.6568115868. The cubic root of 42466816 is about 348.8857517189.

The spelling of 42466816 in words is "forty-two million, four hundred sixty-six thousand, eight hundred sixteen".