421967880 has 320 divisors, whose sum is σ = 1543069440. Its totient is φ = 103016448.

The previous prime is 421967857. The next prime is 421967881. The reversal of 421967880 is 88769124.

421967880 = 273² + 274² + ... + 1087².

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (421967881) 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 79 ways as a sum of consecutive naturals, for example, 2588679 + ... + 2588841.

It is an arithmetic number, because the mean of its divisors is an integer number (4822092).

Almost surely, 2^421967880 is an apocalyptic number.

421967880 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 421967880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771534720).

421967880 is an abundant number, since it is smaller than the sum of its proper divisors (1121101560).

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

421967880 is a wasteful number, since it uses less digits than its factorization.

421967880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 421967880 is about 20541.8567807294. The cubic root of 421967880 is about 750.0550359613.

The spelling of 421967880 in words is "four hundred twenty-one million, nine hundred sixty-seven thousand, eight hundred eighty".