420003456 has 64 divisors (see below), whose sum is σ = 1130992320. Its totient is φ = 138074112.

The previous prime is 420003443. The next prime is 420003457. The reversal of 420003456 is 654300024.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420003457) by changing a digit.

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, 20541 + ... + 35523.

It is an arithmetic number, because the mean of its divisors is an integer number (17671755).

Almost surely, 2^420003456 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 420003456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565496160).

420003456 is an abundant number, since it is smaller than the sum of its proper divisors (710988864).

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

420003456 is a wasteful number, since it uses less digits than its factorization.

420003456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15073 (or 15061 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 420003456 is about 20493.9858495120. The cubic root of 420003456 is about 748.8892928069.

The spelling of 420003456 in words is "four hundred twenty million, three thousand, four hundred fifty-six".