420941088 has 36 divisors (see below), whose sum is σ = 1197052038. Its totient is φ = 140313600.

The previous prime is 420941077. The next prime is 420941089. The reversal of 420941088 is 880149024.

It can be written as a sum of positive squares in only one way, i.e., 401120784 + 19820304 = 20028^2 + 4452^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (420941089) 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 5 ways as a sum of consecutive naturals, for example, 730513 + ... + 731088.

Almost surely, 2^420941088 is an apocalyptic number.

420941088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420941088 is an abundant number, since it is smaller than the sum of its proper divisors (776110950).

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

420941088 is a wasteful number, since it uses less digits than its factorization.

420941088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461617 (or 1461606 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 420941088 is about 20516.8488808589. The cubic root of 420941088 is about 749.4461617850.

The spelling of 420941088 in words is "four hundred twenty million, nine hundred forty-one thousand, eighty-eight".