420414240 has 192 divisors, whose sum is σ = 1398249216. Its totient is φ = 105971712.

The previous prime is 420414223. The next prime is 420414289. The reversal of 420414240 is 42414024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247352 + ... + 1247688.

It is an arithmetic number, because the mean of its divisors is an integer number (7282548).

Almost surely, 2^420414240 is an apocalyptic number.

420414240 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 420414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699124608).

420414240 is an abundant number, since it is smaller than the sum of its proper divisors (977834976).

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

420414240 is a wasteful number, since it uses less digits than its factorization.

420414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 420414240 is about 20504.0054623481. The cubic root of 420414240 is about 749.1333634182.

Adding to 420414240 its reverse (42414024), we get a palindrome (462828264).

The spelling of 420414240 in words is "four hundred twenty million, four hundred fourteen thousand, two hundred forty".