424235664 has 80 divisors (see below), whose sum is σ = 1259740800. Its totient is φ = 136531584.

The previous prime is 424235657. The next prime is 424235681. The reversal of 424235664 is 466532424.

424235664 is a `hidden beast` number, since 4 + 242 + 356 + 64 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 4404 + ... + 29459.

It is an arithmetic number, because the mean of its divisors is an integer number (15746760).

Almost surely, 2^424235664 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 424235664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629870400).

424235664 is an abundant number, since it is smaller than the sum of its proper divisors (835505136).

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

424235664 is a wasteful number, since it uses less digits than its factorization.

424235664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33909 (or 33897 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 424235664 is about 20596.9819148340. The cubic root of 424235664 is about 751.3963108082.

The spelling of 424235664 in words is "four hundred twenty-four million, two hundred thirty-five thousand, six hundred sixty-four".