420475968 has 168 divisors, whose sum is σ = 1359387680. Its totient is φ = 127353600.

The previous prime is 420475967. The next prime is 420475969. The reversal of 420475968 is 869574024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420475967) and next prime (420475969).

It is not an unprimeable number, because it can be changed into a prime (420475963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208083 + ... + 210093.

Almost surely, 2^420475968 is an apocalyptic number.

420475968 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 420475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679693840).

420475968 is an abundant number, since it is smaller than the sum of its proper divisors (938911712).

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

420475968 is a wasteful number, since it uses less digits than its factorization.

420475968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 420475968 is about 20505.5106739627. The cubic root of 420475968 is about 749.1700258627.

The spelling of 420475968 in words is "four hundred twenty million, four hundred seventy-five thousand, nine hundred sixty-eight".