421888320 has 336 divisors, whose sum is σ = 1757403648. Its totient is φ = 90685440.

The previous prime is 421888307. The next prime is 421888339. The reversal of 421888320 is 23888124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342105 + ... + 343335.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368).

Almost surely, 2^421888320 is an apocalyptic number.

421888320 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 421888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878701824).

421888320 is an abundant number, since it is smaller than the sum of its proper divisors (1335515328).

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

421888320 is a wasteful number, since it uses less digits than its factorization.

421888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 421888320 is about 20539.9201556384. The cubic root of 421888320 is about 750.0078932503.

The spelling of 421888320 in words is "four hundred twenty-one million, eight hundred eighty-eight thousand, three hundred twenty".