420432256 has 64 divisors (see below), whose sum is σ = 872467200. Its totient is φ = 201564160.

The previous prime is 420432239. The next prime is 420432277. The reversal of 420432256 is 652234024.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 708696 + ... + 709288.

It is an arithmetic number, because the mean of its divisors is an integer number (13632300).

Almost surely, 2^420432256 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 420432256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436233600).

420432256 is an abundant number, since it is smaller than the sum of its proper divisors (452034944).

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

420432256 is a wasteful number, since it uses less digits than its factorization.

420432256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 420432256 is about 20504.4447864359. Note that the first 3 decimals coincide. The cubic root of 420432256 is about 749.1440641292.

The spelling of 420432256 in words is "four hundred twenty million, four hundred thirty-two thousand, two hundred fifty-six".