420156 has 36 divisors (see below), whose sum is σ = 1159704. Its totient is φ = 127200.

The previous prime is 420149. The next prime is 420163. The reversal of 420156 is 651024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420149) and next prime (420163).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420156.

It is an unprimeable number.

420156 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135 + ... + 926.

It is an arithmetic number, because the mean of its divisors is an integer number (32214).

2⁴²⁰¹⁵⁶ 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 420156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579852).

420156 is an abundant number, since it is smaller than the sum of its proper divisors (739548).

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

420156 is a wasteful number, since it uses less digits than its factorization.

420156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 420156 is about 648.1944152799. The cubic root of 420156 is about 74.8979946617.

It can be divided in two parts, 420 and 156, that added together give a square (576 = 24²).

The spelling of 420156 in words is "four hundred twenty thousand, one hundred fifty-six".