420126 has 24 divisors (see below), whose sum is σ = 978120. Its totient is φ = 119952.

The previous prime is 420103. The next prime is 420149. The reversal of 420126 is 621024.

It is an interprime number because it is at equal distance from previous prime (420103) and next prime (420149).

420126 is a modest number, since divided by 126 gives 42 as remainder.

It is a Curzon number.

It is a zygodrome in base 7.

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 420126.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 421 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (40755).

2⁴²⁰¹²⁶ is an apocalyptic number.

420126 is an abundant number, since it is smaller than the sum of its proper divisors (557994).

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

420126 is a wasteful number, since it uses less digits than its factorization.

420126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1441 counting only the distinct ones).

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

The square root of 420126 is about 648.1712736615. The cubic root of 420126 is about 74.8962119958.

The spelling of 420126 in words is "four hundred twenty thousand, one hundred twenty-six".