424636416 has 78 divisors (see below), whose sum is σ = 1226684160. Its totient is φ = 141533184.

The previous prime is 424636409. The next prime is 424636427. The reversal of 424636416 is 614636424.

424636416 is a `hidden beast` number, since 4 + 2 + 4 + 6 + 3 + 641 + 6 = 666.

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 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 5 ways as a sum of consecutive naturals, for example, 31105 + ... + 42623.

It is an arithmetic number, because the mean of its divisors is an integer number (15726720).

Almost surely, 2^424636416 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 424636416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613342080).

424636416 is an abundant number, since it is smaller than the sum of its proper divisors (802047744).

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

424636416 is a wasteful number, since it uses less digits than its factorization.

424636416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11549 (or 11524 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 424636416 is about 20606.7080340359. The cubic root of 424636416 is about 751.6328372104.

The spelling of 424636416 in words is "four hundred twenty-four million, six hundred thirty-six thousand, four hundred sixteen".