421631280 has 720 divisors, whose sum is σ = 1885459680. Its totient is φ = 83607552.

The previous prime is 421631257. The next prime is 421631291. The reversal of 421631280 is 82136124.

421631280 is a `hidden beast` number, since 4 + 2 + 1 + 631 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 11395422 + ... + 11395458.

It is an arithmetic number, because the mean of its divisors is an integer number (2618694).

Almost surely, 2^421631280 is an apocalyptic number.

421631280 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 421631280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (942729840).

421631280 is an abundant number, since it is smaller than the sum of its proper divisors (1463828400).

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

421631280 is a wasteful number, since it uses less digits than its factorization.

421631280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 421631280 is about 20533.6621185798. The cubic root of 421631280 is about 749.8555455123.

The spelling of 421631280 in words is "four hundred twenty-one million, six hundred thirty-one thousand, two hundred eighty".