421744000 has 128 divisors (see below), whose sum is σ = 1074696480. Its totient is φ = 164505600.

The previous prime is 421743997. The next prime is 421744003. The reversal of 421744000 is 447124.

It is an interprime number because it is at equal distance from previous prime (421743997) and next prime (421744003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421744003) 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 15 ways as a sum of consecutive naturals, for example, 687694 + ... + 688306.

Almost surely, 2^421744000 is an apocalyptic number.

421744000 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 421744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537348240).

421744000 is an abundant number, since it is smaller than the sum of its proper divisors (652952480).

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

421744000 is an equidigital number, since it uses as much as digits as its factorization.

421744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 421744000 is about 20536.4066964014. The cubic root of 421744000 is about 749.9223623338.

The spelling of 421744000 in words is "four hundred twenty-one million, seven hundred forty-four thousand".