420036 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 125440.

The previous prime is 420029. The next prime is 420037. The reversal of 420036 is 630024.

420036 = T₇₀ + T₇₁ + ... + T₁₄₁.

It is a junction number, because it is equal to n+sod(n) for n = 419997 and 420024.

It is not an unprimeable number, because it can be changed into a prime (420037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5881 + ... + 5951.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2⁴²⁰⁰³⁶ 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 420036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

420036 is an abundant number, since it is smaller than the sum of its proper divisors (668604).

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

420036 is a wasteful number, since it uses less digits than its factorization.

420036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 420036 is about 648.1018438486. The cubic root of 420036 is about 74.8908634889.

The spelling of 420036 in words is "four hundred twenty thousand, thirty-six".