420220040 has 64 divisors (see below), whose sum is σ = 967723200. Its totient is φ = 164166912.

The previous prime is 420220001. The next prime is 420220043. The reversal of 420220040 is 40022024.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 420219997 and 420220024.

It is not an unprimeable number, because it can be changed into a prime (420220043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803219 + ... + 803741.

It is an arithmetic number, because the mean of its divisors is an integer number (15120675).

Almost surely, 2^420220040 is an apocalyptic number.

420220040 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 420220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483861600).

420220040 is an abundant number, since it is smaller than the sum of its proper divisors (547503160).

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

420220040 is a wasteful number, since it uses less digits than its factorization.

420220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 420220040 is about 20499.2692552686. The cubic root of 420220040 is about 749.0179977529.

Adding to 420220040 its reverse (40022024), we get a palindrome (460242064).

It can be divided in two parts, 4202 and 20040, that added together give a palindrome (24242).

The spelling of 420220040 in words is "four hundred twenty million, two hundred twenty thousand, forty".