420193620 has 432 divisors, whose sum is σ = 1667143296. Its totient is φ = 84672000.

The previous prime is 420193603. The next prime is 420193651. The reversal of 420193620 is 26391024.

420193620 is a `hidden beast` number, since 4 + 20 + 19 + 3 + 620 = 666.

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 143 ways as a sum of consecutive naturals, for example, 5918185 + ... + 5918255.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^420193620 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 420193620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

420193620 is an abundant number, since it is smaller than the sum of its proper divisors (1246949676).

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

420193620 is a wasteful number, since it uses less digits than its factorization.

420193620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 420193620 is about 20498.6248319247. The cubic root of 420193620 is about 749.0023000483.

The spelling of 420193620 in words is "four hundred twenty million, one hundred ninety-three thousand, six hundred twenty".