424648416 has 96 divisors (see below), whose sum is σ = 1156958208. Its totient is φ = 136235520.

The previous prime is 424648387. The next prime is 424648451. The reversal of 424648416 is 614846424.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×424648416² = 360652554422618112, which contains 22 as substring.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871725 + ... + 872211.

It is an arithmetic number, because the mean of its divisors is an integer number (12051648).

Almost surely, 2^424648416 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 424648416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578479104).

424648416 is an abundant number, since it is smaller than the sum of its proper divisors (732309792).

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

424648416 is a wasteful number, since it uses less digits than its factorization.

424648416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 424648416 is about 20606.9991993012. Note that the first 3 decimals coincide. The cubic root of 424648416 is about 751.6399173922.

The spelling of 424648416 in words is "four hundred twenty-four million, six hundred forty-eight thousand, four hundred sixteen".