420355936 has 144 divisors (see below), whose sum is σ = 1120506912. Its totient is φ = 151050240.

The previous prime is 420355933. The next prime is 420355937. The reversal of 420355936 is 639553024.

It is a super-2 number, since 2×420355936² = 353398225860872192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 420355895 and 420355904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420355931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 351756 + ... + 352948.

It is an arithmetic number, because the mean of its divisors is an integer number (7781298).

Almost surely, 2^420355936 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 420355936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560253456).

420355936 is an abundant number, since it is smaller than the sum of its proper divisors (700150976).

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

420355936 is a wasteful number, since it uses less digits than its factorization.

420355936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

The square root of 420355936 is about 20502.5836420681. The cubic root of 420355936 is about 749.0987313128.

The spelling of 420355936 in words is "four hundred twenty million, three hundred fifty-five thousand, nine hundred thirty-six".