419083968 has 56 divisors (see below), whose sum is σ = 1110425008. Its totient is φ = 139493376.

The previous prime is 419083967. The next prime is 419083979. The reversal of 419083968 is 869380914.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (419083967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 197280 + ... + 199392.

It is an arithmetic number, because the mean of its divisors is an integer number (19829018).

Almost surely, 2^419083968 is an apocalyptic number.

419083968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

419083968 is an abundant number, since it is smaller than the sum of its proper divisors (691341040).

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

419083968 is a wasteful number, since it uses less digits than its factorization.

419083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 419083968 is about 20471.5404403284. The cubic root of 419083968 is about 748.3423942677.

The spelling of 419083968 in words is "four hundred nineteen million, eighty-three thousand, nine hundred sixty-eight".