420941440 has 48 divisors (see below), whose sum is σ = 1007555490. Its totient is φ = 168168960.

The previous prime is 420941401. The next prime is 420941441. The reversal of 420941440 is 44149024.

It can be written as a sum of positive squares in only one way, i.e., 378847296 + 42094144 = 19464^2 + 6488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420941399 and 420941408.

It is not an unprimeable number, because it can be changed into a prime (420941441) 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 5 ways as a sum of consecutive naturals, for example, 518635 + ... + 519445.

Almost surely, 2^420941440 is an apocalyptic number.

420941440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503777745).

420941440 is an abundant number, since it is smaller than the sum of its proper divisors (586614050).

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

420941440 is an frugal number, since it uses more digits than its factorization.

420941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 420941440 is about 20516.8574591724. The cubic root of 420941440 is about 749.4463706859.

It can be divided in two parts, 42094 and 1440, that added together give a palindrome (43534).

The spelling of 420941440 in words is "four hundred twenty million, nine hundred forty-one thousand, four hundred forty".