419224968 has 108 divisors (see below), whose sum is σ = 1207813815. Its totient is φ = 131344416.

The previous prime is 419224961. The next prime is 419224991. The reversal of 419224968 is 869422914.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

419224968 is a `hidden beast` number, since 419 + 224 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209612484 + 209612484 = 14478^2 + 14478^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14478.

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 (419224961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3300921 + ... + 3301047.

Almost surely, 2^419224968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419224968

419224968 is an abundant number, since it is smaller than the sum of its proper divisors (788588847).

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

419224968 is a wasteful number, since it uses less digits than its factorization.

419224968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 151 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 419224968 is about 20474.9839560377. The cubic root of 419224968 is about 748.4263109800.

The spelling of 419224968 in words is "four hundred nineteen million, two hundred twenty-four thousand, nine hundred sixty-eight".