420443136 has 220 divisors, whose sum is σ = 1298870628. Its totient is φ = 135364608.

The previous prime is 420443129. The next prime is 420443147. The reversal of 420443136 is 631344024.

It can be written as a sum of positive squares in 2 ways, for example, as 318836736 + 101606400 = 17856^2 + 10080^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3068860 + ... + 3068996.

Almost surely, 2^420443136 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 420443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649435314).

420443136 is an abundant number, since it is smaller than the sum of its proper divisors (878427492).

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

420443136 is a wasteful number, since it uses less digits than its factorization.

420443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

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

The square root of 420443136 is about 20504.7100930494. The cubic root of 420443136 is about 749.1505262223.

It can be divided in two parts, 420 and 443136, that added together give a square (443556 = 666²).

The spelling of 420443136 in words is "four hundred twenty million, four hundred forty-three thousand, one hundred thirty-six".