424009944 has 64 divisors (see below), whose sum is σ = 1185129600. Its totient is φ = 140457888.

The previous prime is 424009939. The next prime is 424009951. The reversal of 424009944 is 449900424.

It is a happy number.

It is a super-2 number, since 2×424009944² = 359568865221766272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 424009899 and 424009908.

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 15 ways as a sum of consecutive naturals, for example, 29187 + ... + 41229.

It is an arithmetic number, because the mean of its divisors is an integer number (18517650).

Almost surely, 2^424009944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424009944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592564800).

424009944 is an abundant number, since it is smaller than the sum of its proper divisors (761119656).

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

424009944 is a wasteful number, since it uses less digits than its factorization.

424009944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12221 (or 12211 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 424009944 is about 20591.5017422237. The cubic root of 424009944 is about 751.2630238338.

The spelling of 424009944 in words is "four hundred twenty-four million, nine thousand, nine hundred forty-four".