424339680 has 96 divisors (see below), whose sum is σ = 1372853664. Its totient is φ = 110094336.

The previous prime is 424339679. The next prime is 424339691. The reversal of 424339680 is 86933424.

It is a tau number, because it is divible by the number of its divisors (96).

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, 5814 + ... + 29706.

It is an arithmetic number, because the mean of its divisors is an integer number (14300559).

Almost surely, 2^424339680 is an apocalyptic number.

424339680 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 424339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686426832).

424339680 is an abundant number, since it is smaller than the sum of its proper divisors (948513984).

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

424339680 is a wasteful number, since it uses less digits than its factorization.

424339680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23948 (or 23940 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 424339680 is about 20599.5067902122. The cubic root of 424339680 is about 751.4577160275.

The spelling of 424339680 in words is "four hundred twenty-four million, three hundred thirty-nine thousand, six hundred eighty".