420988100 has 36 divisors (see below), whose sum is σ = 983819844. Its totient is φ = 155441280.

The previous prime is 420988079. The next prime is 420988133. The reversal of 420988100 is 1889024.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 984064 + 420004036 = 992^2 + 20494^2 .

It is a super-2 number, since 2×420988100² = 354461960683220000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 160619 + ... + 163218.

It is an arithmetic number, because the mean of its divisors is an integer number (27328329).

Almost surely, 2^420988100 is an apocalyptic number.

It is an amenable number.

420988100 is an abundant number, since it is smaller than the sum of its proper divisors (562831744).

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

420988100 is a wasteful number, since it uses less digits than its factorization.

420988100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323864 (or 323857 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 420988100 is about 20517.9945413776. The cubic root of 420988100 is about 749.4740608999.

The spelling of 420988100 in words is "four hundred twenty million, nine hundred eighty-eight thousand, one hundred".