420344136 has 144 divisors (see below), whose sum is σ = 1225673280. Its totient is φ = 129888000.

The previous prime is 420344117. The next prime is 420344149. The reversal of 420344136 is 631443024.

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 35 ways as a sum of consecutive naturals, for example, 2783661 + ... + 2783811.

It is an arithmetic number, because the mean of its divisors is an integer number (8511620).

Almost surely, 2^420344136 is an apocalyptic number.

420344136 is a gapful number since it is divisible by the number (46) 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 420344136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612836640).

420344136 is an abundant number, since it is smaller than the sum of its proper divisors (805329144).

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

420344136 is a wasteful number, since it uses less digits than its factorization.

420344136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 420344136 is about 20502.2958714384. The cubic root of 420344136 is about 749.0917218184.

The spelling of 420344136 in words is "four hundred twenty million, three hundred forty-four thousand, one hundred thirty-six".