424045440 has 384 divisors, whose sum is σ = 1804420800. Its totient is φ = 89358336.

The previous prime is 424045417. The next prime is 424045459. The reversal of 424045440 is 44540424.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523756 + ... + 524564.

Almost surely, 2^424045440 is an apocalyptic number.

424045440 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 424045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902210400).

424045440 is an abundant number, since it is smaller than the sum of its proper divisors (1380375360).

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

424045440 is a wasteful number, since it uses less digits than its factorization.

424045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 27.

The square root of 424045440 is about 20592.3636331529. The cubic root of 424045440 is about 751.2839872479.

Adding to 424045440 its reverse (44540424), we get a palindrome (468585864).

The spelling of 424045440 in words is "four hundred twenty-four million, forty-five thousand, four hundred forty".