420277320 has 96 divisors (see below), whose sum is σ = 1370416320. Its totient is φ = 111703680.

The previous prime is 420277271. The next prime is 420277327. The reversal of 420277320 is 23772024.

It is not an unprimeable number, because it can be changed into a prime (420277327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117397 + ... + 120923.

It is an arithmetic number, because the mean of its divisors is an integer number (14275170).

Almost surely, 2^420277320 is an apocalyptic number.

420277320 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 420277320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685208160).

420277320 is an abundant number, since it is smaller than the sum of its proper divisors (950139000).

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

420277320 is a wasteful number, since it uses less digits than its factorization.

420277320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3875 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 420277320 is about 20500.6663306342. Note that the first 3 decimals coincide. The cubic root of 420277320 is about 749.0520289727.

Adding to 420277320 its product of nonzero digits (4704), we get a palindrome (420282024).

The spelling of 420277320 in words is "four hundred twenty million, two hundred seventy-seven thousand, three hundred twenty".