420424064 has 32 divisors (see below), whose sum is σ = 843990840. Its totient is φ = 208599040.

The previous prime is 420424033. The next prime is 420424073. The reversal of 420424064 is 460424024.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 4232 + ... + 29304.

Almost surely, 2^420424064 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 420424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421995420).

420424064 is an abundant number, since it is smaller than the sum of its proper divisors (423566776).

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

420424064 is a wasteful number, since it uses less digits than its factorization.

420424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25218 (or 25206 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 420424064 is about 20504.2450238969. The cubic root of 420424064 is about 749.1391984797.

Adding to 420424064 its reverse (460424024), we get a palindrome (880848088).

The spelling of 420424064 in words is "four hundred twenty million, four hundred twenty-four thousand, sixty-four".