420402320 has 80 divisors (see below), whose sum is σ = 1055974080. Its totient is φ = 154732032.

The previous prime is 420402319. The next prime is 420402329. The reversal of 420402320 is 23204024.

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

It is a super-3 number, since 3×420402320³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (420402329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 568511 + ... + 569249.

It is an arithmetic number, because the mean of its divisors is an integer number (13199676).

Almost surely, 2^420402320 is an apocalyptic number.

420402320 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 420402320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527987040).

420402320 is an abundant number, since it is smaller than the sum of its proper divisors (635571760).

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

420402320 is a wasteful number, since it uses less digits than its factorization.

420402320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 420402320 is about 20503.7147853749. The cubic root of 420402320 is about 749.1262832948.

Adding to 420402320 its reverse (23204024), we get a palindrome (443606344).

The spelling of 420402320 in words is "four hundred twenty million, four hundred two thousand, three hundred twenty".