420836160 has 224 divisors, whose sum is σ = 1404518400. Its totient is φ = 106629120.

The previous prime is 420836153. The next prime is 420836161. The reversal of 420836160 is 61638024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420836161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350951 + ... + 2351129.

Almost surely, 2^420836160 is an apocalyptic number.

420836160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702259200).

420836160 is an abundant number, since it is smaller than the sum of its proper divisors (983682240).

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

420836160 is a wasteful number, since it uses less digits than its factorization.

420836160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 420836160 is about 20514.2916036601. The cubic root of 420836160 is about 749.3838851196.

The spelling of 420836160 in words is "four hundred twenty million, eight hundred thirty-six thousand, one hundred sixty".