424816416 has 72 divisors (see below), whose sum is σ = 1237571244. Its totient is φ = 138147840.

The previous prime is 424816391. The next prime is 424816423. The reversal of 424816416 is 614618424.

It is a happy number.

424816416 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 1 + 641 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 424524816 + 291600 = 20604^2 + 540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6181 + ... + 29796.

Almost surely, 2^424816416 is an apocalyptic number.

It is an amenable number.

424816416 is an abundant number, since it is smaller than the sum of its proper divisors (812754828).

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

424816416 is a wasteful number, since it uses less digits than its factorization.

424816416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36034 (or 36023 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 424816416 is about 20611.0750811305. The cubic root of 424816416 is about 751.7390259352.

The spelling of 424816416 in words is "four hundred twenty-four million, eight hundred sixteen thousand, four hundred sixteen".