423121968 has 100 divisors (see below), whose sum is σ = 1254664488. Its totient is φ = 137583360.

The previous prime is 423121957. The next prime is 423121969. The reversal of 423121968 is 869121324.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (423121969) 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 19 ways as a sum of consecutive naturals, for example, 49155 + ... + 57117.

Almost surely, 2^423121968 is an apocalyptic number.

423121968 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 423121968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627332244).

423121968 is an abundant number, since it is smaller than the sum of its proper divisors (831542520).

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

423121968 is a wasteful number, since it uses less digits than its factorization.

423121968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024 (or 8009 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 423121968 is about 20569.9287310384. The cubic root of 423121968 is about 750.7382171422.

The spelling of 423121968 in words is "four hundred twenty-three million, one hundred twenty-one thousand, nine hundred sixty-eight".