420009156 has 144 divisors (see below), whose sum is σ = 1251169920. Its totient is φ = 116328960.

The previous prime is 420009151. The next prime is 420009167. The reversal of 420009156 is 651900024.

It is a super-2 number, since 2×420009156² = 352815382247664672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420009151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1367955 + ... + 1368261.

It is an arithmetic number, because the mean of its divisors is an integer number (8688680).

Almost surely, 2^420009156 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 420009156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625584960).

420009156 is an abundant number, since it is smaller than the sum of its proper divisors (831160764).

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

420009156 is a wasteful number, since it uses less digits than its factorization.

420009156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 420009156 is about 20494.1249142285. The cubic root of 420009156 is about 748.8926805962.

The spelling of 420009156 in words is "four hundred twenty million, nine thousand, one hundred fifty-six".