421303680 has 512 divisors, whose sum is σ = 1766476800. Its totient is φ = 94058496.

The previous prime is 421303679. The next prime is 421303693. The reversal of 421303680 is 86303124.

It is a happy number.

It is a super-3 number, since 3×421303680³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 9797739 + ... + 9797781.

It is an arithmetic number, because the mean of its divisors is an integer number (3450150).

Almost surely, 2^421303680 is an apocalyptic number.

421303680 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 421303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883238400).

421303680 is an abundant number, since it is smaller than the sum of its proper divisors (1345173120).

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

421303680 is an frugal number, since it uses more digits than its factorization.

421303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 421303680 is about 20525.6834234575. The cubic root of 421303680 is about 749.6612870544.

The spelling of 421303680 in words is "four hundred twenty-one million, three hundred three thousand, six hundred eighty".