420729320 has 64 divisors (see below), whose sum is σ = 1035296640. Its totient is φ = 152608000.

The previous prime is 420729319. The next prime is 420729341. The reversal of 420729320 is 23927024.

It is a happy 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, 220370 + ... + 222270.

It is an arithmetic number, because the mean of its divisors is an integer number (16176510).

Almost surely, 2^420729320 is an apocalyptic number.

420729320 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 420729320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517648320).

420729320 is an abundant number, since it is smaller than the sum of its proper divisors (614567320).

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

420729320 is a wasteful number, since it uses less digits than its factorization.

420729320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 420729320 is about 20511.6874001141. The cubic root of 420729320 is about 749.3204630104.

The spelling of 420729320 in words is "four hundred twenty million, seven hundred twenty-nine thousand, three hundred twenty".