420371680 has 48 divisors (see below), whose sum is σ = 996922080. Its totient is φ = 167506432.

The previous prime is 420371671. The next prime is 420371711. The reversal of 420371680 is 86173024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38157 + ... + 47923.

It is an arithmetic number, because the mean of its divisors is an integer number (20769210).

Almost surely, 2^420371680 is an apocalyptic number.

420371680 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 420371680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498461040).

420371680 is an abundant number, since it is smaller than the sum of its proper divisors (576550400).

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

420371680 is a wasteful number, since it uses less digits than its factorization.

420371680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10051 (or 10043 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 420371680 is about 20502.9675900831. The cubic root of 420371680 is about 749.1080834373.

It can be divided in two parts, 420 and 371680, that added together give a square (372100 = 610²).

The spelling of 420371680 in words is "four hundred twenty million, three hundred seventy-one thousand, six hundred eighty".