420783168 has 112 divisors (see below), whose sum is σ = 1205398656. Its totient is φ = 128778240.

The previous prime is 420783113. The next prime is 420783193. The reversal of 420783168 is 861387024.

It is a Cunningham number, because it is equal to 20513²-1.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 656128 + ... + 656768.

It is an arithmetic number, because the mean of its divisors is an integer number (10762488).

Almost surely, 2^420783168 is an apocalyptic number.

420783168 is a gapful number since it is divisible by the number (48) 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 420783168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602699328).

420783168 is an abundant number, since it is smaller than the sum of its proper divisors (784615488).

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

420783168 is a wasteful number, since it uses less digits than its factorization.

420783168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 420783168 is about 20512.9999756252. Note that the first 4 decimals coincide. The cubic root of 420783168 is about 749.3524294753.

The spelling of 420783168 in words is "four hundred twenty million, seven hundred eighty-three thousand, one hundred sixty-eight".