424337680 has 80 divisors (see below), whose sum is σ = 1125021744. Its totient is φ = 147456000.

The previous prime is 424337653. The next prime is 424337701. The reversal of 424337680 is 86733424.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 23697424 + 400640256 = 4868^2 + 20016^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 5680 + ... + 29680.

Almost surely, 2^424337680 is an apocalyptic number.

424337680 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 424337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562510872).

424337680 is an abundant number, since it is smaller than the sum of its proper divisors (700684064).

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

424337680 is a wasteful number, since it uses less digits than its factorization.

424337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24044 (or 24038 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The square root of 424337680 is about 20599.4582453034. The cubic root of 424337680 is about 751.4565354342.

The spelling of 424337680 in words is "four hundred twenty-four million, three hundred thirty-seven thousand, six hundred eighty".