420441588 has 72 divisors (see below), whose sum is σ = 1226709120. Its totient is φ = 118929600.

The previous prime is 420441583. The next prime is 420441631. The reversal of 420441588 is 885144024.

It is a super-2 number, since 2×420441588² = 353542257839923488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420441583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17193 + ... + 33711.

Almost surely, 2^420441588 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 420441588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613354560).

420441588 is an abundant number, since it is smaller than the sum of its proper divisors (806267532).

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

420441588 is a wasteful number, since it uses less digits than its factorization.

420441588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16637 (or 16632 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 420441588 is about 20504.6723455899. The cubic root of 420441588 is about 749.1496068063.

The spelling of 420441588 in words is "four hundred twenty million, four hundred forty-one thousand, five hundred eighty-eight".