420829680 has 80 divisors (see below), whose sum is σ = 1324093824. Its totient is φ = 110542080.

The previous prime is 420829663. The next prime is 420829711. The reversal of 420829680 is 86928024.

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

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, 2995 + ... + 29165.

Almost surely, 2^420829680 is an apocalyptic number.

420829680 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 420829680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662046912).

420829680 is an abundant number, since it is smaller than the sum of its proper divisors (903264144).

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

420829680 is a wasteful number, since it uses less digits than its factorization.

420829680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26254 (or 26248 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 420829680 is about 20514.1336643788. The cubic root of 420829680 is about 749.3800387831.

The spelling of 420829680 in words is "four hundred twenty million, eight hundred twenty-nine thousand, six hundred eighty".