420111240 has 64 divisors (see below), whose sum is σ = 1264498560. Its totient is φ = 111659520.

The previous prime is 420111233. The next prime is 420111253. The reversal of 420111240 is 42111024.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31692 + ... + 42948.

It is an arithmetic number, because the mean of its divisors is an integer number (19757790).

Almost surely, 2^420111240 is an apocalyptic number.

420111240 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 420111240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632249280).

420111240 is an abundant number, since it is smaller than the sum of its proper divisors (844387320).

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

420111240 is a wasteful number, since it uses less digits than its factorization.

420111240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582 (or 11578 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 420111240 is about 20496.6153303417. The cubic root of 420111240 is about 748.9533489304.

Adding to 420111240 its reverse (42111024), we get a palindrome (462222264).

The spelling of 420111240 in words is "four hundred twenty million, one hundred eleven thousand, two hundred forty".