420366320 has 80 divisors (see below), whose sum is σ = 1086439392. Its totient is φ = 149959680.

The previous prime is 420366319. The next prime is 420366329. The reversal of 420366320 is 23663024.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420366320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420366329) 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, 42134 + ... + 51146.

Almost surely, 2^420366320 is an apocalyptic number.

420366320 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 420366320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543219696).

420366320 is an abundant number, since it is smaller than the sum of its proper divisors (666073072).

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

420366320 is a wasteful number, since it uses less digits than its factorization.

420366320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9090 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 420366320 is about 20502.8368768812. The cubic root of 420366320 is about 749.1048995593.

The spelling of 420366320 in words is "four hundred twenty million, three hundred sixty-six thousand, three hundred twenty".