420444440 has 64 divisors (see below), whose sum is σ = 1021204800. Its totient is φ = 154870272.

The previous prime is 420444433. The next prime is 420444457. The reversal of 420444440 is 44444024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318101 + ... + 319419.

It is an arithmetic number, because the mean of its divisors is an integer number (15956325).

Almost surely, 2^420444440 is an apocalyptic number.

420444440 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 420444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510602400).

420444440 is an abundant number, since it is smaller than the sum of its proper divisors (600760360).

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

420444440 is a wasteful number, since it uses less digits than its factorization.

420444440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 420444440 is about 20504.7418905969. The cubic root of 420444440 is about 749.1513007157.

Adding to 420444440 its reverse (44444024), we get a palindrome (464888464).

The spelling of 420444440 in words is "four hundred twenty million, four hundred forty-four thousand, four hundred forty".