421355600 has 60 divisors (see below), whose sum is σ = 1014816000. Its totient is φ = 168124800.

The previous prime is 421355573. The next prime is 421355603. The reversal of 421355600 is 6553124.

It is a self number, because there is not a number n which added to its sum of digits gives 421355600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421355603) 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 11 ways as a sum of consecutive naturals, for example, 198545 + ... + 200655.

It is an arithmetic number, because the mean of its divisors is an integer number (16913600).

Almost surely, 2^421355600 is an apocalyptic number.

421355600 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 421355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507408000).

421355600 is an abundant number, since it is smaller than the sum of its proper divisors (593460400).

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

421355600 is a wasteful number, since it uses less digits than its factorization.

421355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2617 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 421355600 is about 20526.9481414067. The cubic root of 421355600 is about 749.6920810059.

The spelling of 421355600 in words is "four hundred twenty-one million, three hundred fifty-five thousand, six hundred".