420927120 has 60 divisors (see below), whose sum is σ = 1413615996. Its totient is φ = 112247040.

The previous prime is 420927119. The next prime is 420927127. The reversal of 420927120 is 21729024.

It can be written as a sum of positive squares in 2 ways, for example, as 82955664 + 337971456 = 9108^2 + 18384^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (420927127) 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 11 ways as a sum of consecutive naturals, for example, 291591 + ... + 293030.

Almost surely, 2^420927120 is an apocalyptic number.

420927120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420927120 is an abundant number, since it is smaller than the sum of its proper divisors (992688876).

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

420927120 is a wasteful number, since it uses less digits than its factorization.

420927120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584640 (or 584631 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 420927120 is about 20516.5084748843. The cubic root of 420927120 is about 749.4378721216.

It can be divided in two parts, 4209 and 27120, that added together give a square (31329 = 177²).

The spelling of 420927120 in words is "four hundred twenty million, nine hundred twenty-seven thousand, one hundred twenty".