420416325 has 180 divisors, whose sum is σ = 957855360. Its totient is φ = 181258560.

The previous prime is 420416317. The next prime is 420416369. The reversal of 420416325 is 523614024.

420416325 is a `hidden beast` number, since 4 + 20 + 4 + 1 + 632 + 5 = 666.

It is not a de Polignac number, because 420416325 - 2³ = 420416317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 179 ways as a sum of consecutive naturals, for example, 1885164 + ... + 1885386.

Almost surely, 2^420416325 is an apocalyptic number.

420416325 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420416325 is an abundant number, since it is smaller than the sum of its proper divisors (537439035).

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

420416325 is a wasteful number, since it uses less digits than its factorization.

420416325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 420416325 is about 20504.0563060093. The cubic root of 420416325 is about 749.1346018321.

The spelling of 420416325 in words is "four hundred twenty million, four hundred sixteen thousand, three hundred twenty-five".