420461136 has 60 divisors (see below), whose sum is σ = 1245932532. Its totient is φ = 131908608.

The previous prime is 420461131. The next prime is 420461179. The reversal of 420461136 is 631164024.

420461136 is a `hidden beast` number, since 42 + 0 + 4 + 611 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 385886736 + 34574400 = 19644^2 + 5880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420461131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83431 + ... + 88326.

Almost surely, 2^420461136 is an apocalyptic number.

It is an amenable number.

420461136 is an abundant number, since it is smaller than the sum of its proper divisors (825471396).

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

420461136 is a wasteful number, since it uses less digits than its factorization.

420461136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171788 (or 171779 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420461136 is about 20505.1490118945. The cubic root of 420461136 is about 749.1612169403.

The spelling of 420461136 in words is "four hundred twenty million, four hundred sixty-one thousand, one hundred thirty-six".