424944000 has 384 divisors, whose sum is σ = 1650710880. Its totient is φ = 104140800.

The previous prime is 424943971. The next prime is 424944007. The reversal of 424944000 is 449424.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424944007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871887 + ... + 1872113.

Almost surely, 2^424944000 is an apocalyptic number.

424944000 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 424944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825355440).

424944000 is an abundant number, since it is smaller than the sum of its proper divisors (1225766880).

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

424944000 is a wasteful number, since it uses less digits than its factorization.

424944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 424944000 is about 20614.1698838445. The cubic root of 424944000 is about 751.8142743393.

The spelling of 424944000 in words is "four hundred twenty-four million, nine hundred forty-four thousand".