424432000 has 128 divisors (see below), whose sum is σ = 1082652480. Its totient is φ = 165376000.

The previous prime is 424431977. The next prime is 424432031. The reversal of 424432000 is 234424.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 655677 + ... + 656323.

Almost surely, 2^424432000 is an apocalyptic number.

424432000 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 424432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541326240).

424432000 is an abundant number, since it is smaller than the sum of its proper divisors (658220480).

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

424432000 is an equidigital number, since it uses as much as digits as its factorization.

424432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 424432000 is about 20601.7474986953. The cubic root of 424432000 is about 751.5122081786.

Adding to 424432000 its reverse (234424), we get a palindrome (424666424).

The spelling of 424432000 in words is "four hundred twenty-four million, four hundred thirty-two thousand".