420938088 has 128 divisors (see below), whose sum is σ = 1201029120. Its totient is φ = 122158080.

The previous prime is 420938087. The next prime is 420938093. The reversal of 420938088 is 880839024.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (420938083) 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 31 ways as a sum of consecutive naturals, for example, 290181 + ... + 291627.

It is an arithmetic number, because the mean of its divisors is an integer number (9383040).

Almost surely, 2^420938088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420938088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600514560).

420938088 is an abundant number, since it is smaller than the sum of its proper divisors (780091032).

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

420938088 is a wasteful number, since it uses less digits than its factorization.

420938088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 420938088 is about 20516.7757700863. The cubic root of 420938088 is about 749.4443813745. Note that the first 3 decimals are identical.

The spelling of 420938088 in words is "four hundred twenty million, nine hundred thirty-eight thousand, eighty-eight".