420767136 has 168 divisors, whose sum is σ = 1316308644. Its totient is φ = 131880960.

The previous prime is 420767131. The next prime is 420767167. The reversal of 420767136 is 631767024.

It can be written as a sum of positive squares in 2 ways, for example, as 399200400 + 21566736 = 19980^2 + 4644^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 420767136.

It is not an unprimeable number, because it can be changed into a prime (420767131) 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 27 ways as a sum of consecutive naturals, for example, 396046 + ... + 397106.

Almost surely, 2^420767136 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 420767136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658154322).

420767136 is an abundant number, since it is smaller than the sum of its proper divisors (895541508).

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

420767136 is a wasteful number, since it uses less digits than its factorization.

420767136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 420767136 is about 20512.6091953218. The cubic root of 420767136 is about 749.3429124828.

It can be divided in two parts, 420767 and 136, that added together give a triangular number (420903 = T₉₁₇).

The spelling of 420767136 in words is "four hundred twenty million, seven hundred sixty-seven thousand, one hundred thirty-six".