420440240 has 160 divisors (see below), whose sum is σ = 1121928192. Its totient is φ = 145152000.

The previous prime is 420440221. The next prime is 420440263. The reversal of 420440240 is 42044024.

It is a super-2 number, since 2×420440240² = 353539990822515200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1551305 + ... + 1551575.

Almost surely, 2^420440240 is an apocalyptic number.

420440240 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 420440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560964096).

420440240 is an abundant number, since it is smaller than the sum of its proper divisors (701487952).

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

420440240 is a wasteful number, since it uses less digits than its factorization.

420440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 420440240 is about 20504.6394750066. The cubic root of 420440240 is about 749.1488061761.

420440240 divided by its sum of digits (20) gives a palindrome (21022012).

Adding to 420440240 its reverse (42044024), we get a palindrome (462484264).

It can be divided in two parts, 4204 and 40240, that added together give a palindrome (44444).

The spelling of 420440240 in words is "four hundred twenty million, four hundred forty thousand, two hundred forty".