421959720 has 256 divisors, whose sum is σ = 1650378240. Its totient is φ = 83755008.

The previous prime is 421959709. The next prime is 421959739. The reversal of 421959720 is 27959124.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 184504 + ... + 186776.

It is an arithmetic number, because the mean of its divisors is an integer number (6446790).

Almost surely, 2^421959720 is an apocalyptic number.

421959720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421959720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825189120).

421959720 is an abundant number, since it is smaller than the sum of its proper divisors (1228418520).

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

421959720 is a wasteful number, since it uses less digits than its factorization.

421959720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 421959720 is about 20541.6581609178. The cubic root of 421959720 is about 750.0502010842.

It can be divided in two parts, 42195 and 9720, that added together give a palindrome (51915).

The spelling of 421959720 in words is "four hundred twenty-one million, nine hundred fifty-nine thousand, seven hundred twenty".