420011340 has 288 divisors, whose sum is σ = 1473937920. Its totient is φ = 88833024.

The previous prime is 420011329. The next prime is 420011341. The reversal of 420011340 is 43110024.

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

420011340 is a modest number, since divided by 11340 gives 420 as remainder.

It is not an unprimeable number, because it can be changed into a prime (420011341) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 4077729 + ... + 4077831.

It is an arithmetic number, because the mean of its divisors is an integer number (5117840).

Almost surely, 2^420011340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420011340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736968960).

420011340 is an abundant number, since it is smaller than the sum of its proper divisors (1053926580).

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

420011340 is a wasteful number, since it uses less digits than its factorization.

420011340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 420011340 is about 20494.1781977224. The cubic root of 420011340 is about 748.8939786463.

Adding to 420011340 its reverse (43110024), we get a palindrome (463121364).

The spelling of 420011340 in words is "four hundred twenty million, eleven thousand, three hundred forty".