420409280 has 56 divisors (see below), whose sum is σ = 1024414512. Its totient is φ = 164247552.

The previous prime is 420409277. The next prime is 420409289. The reversal of 420409280 is 82904024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420409289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1517 + ... + 29036.

Almost surely, 2^420409280 is an apocalyptic number.

420409280 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 420409280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512207256).

420409280 is an abundant number, since it is smaller than the sum of its proper divisors (604005232).

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

420409280 is a wasteful number, since it uses less digits than its factorization.

420409280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30613 (or 30603 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 420409280 is about 20503.8845100142. The cubic root of 420409280 is about 749.1304173429.

The spelling of 420409280 in words is "four hundred twenty million, four hundred nine thousand, two hundred eighty".