421920000 has 270 divisors, whose sum is σ = 1525325802. Its totient is φ = 112128000.

The previous prime is 421919933. The next prime is 421920017. The reversal of 421920000 is 29124.

It can be written as a sum of positive squares in 5 ways, for example, as 64256256 + 357663744 = 8016^2 + 18912^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439854 + ... + 1440146.

Almost surely, 2^421920000 is an apocalyptic number.

421920000 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 421920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762662901).

421920000 is an abundant number, since it is smaller than the sum of its proper divisors (1103405802).

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

421920000 is an equidigital number, since it uses as much as digits as its factorization.

421920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 421920000 is about 20540.6913223484. The cubic root of 421920000 is about 750.0266657186.

Adding to 421920000 its reverse (29124), we get a palindrome (421949124).

The spelling of 421920000 in words is "four hundred twenty-one million, nine hundred twenty thousand".