420383880 has 192 divisors, whose sum is σ = 1629538560. Its totient is φ = 91897344.

The previous prime is 420383869. The next prime is 420383881. The reversal of 420383880 is 88383024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (420383881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54334 + ... + 61586.

It is an arithmetic number, because the mean of its divisors is an integer number (8487180).

Almost surely, 2^420383880 is an apocalyptic number.

420383880 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 420383880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814769280).

420383880 is an abundant number, since it is smaller than the sum of its proper divisors (1209154680).

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

420383880 is a wasteful number, since it uses less digits than its factorization.

420383880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300 (or 7293 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 420383880 is about 20503.2651058313. The cubic root of 420383880 is about 749.1153302228.

The spelling of 420383880 in words is "four hundred twenty million, three hundred eighty-three thousand, eight hundred eighty".