419919400 has 48 divisors (see below), whose sum is σ = 977660640. Its totient is φ = 167736000.

The previous prime is 419919389. The next prime is 419919407. The reversal of 419919400 is 4919914.

It is a self number, because there is not a number n which added to its sum of digits gives 419919400.

It is not an unprimeable number, because it can be changed into a prime (419919407) 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 11 ways as a sum of consecutive naturals, for example, 288675 + ... + 290125.

It is an arithmetic number, because the mean of its divisors is an integer number (20367930).

Almost surely, 2^419919400 is an apocalyptic number.

419919400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419919400 is an abundant number, since it is smaller than the sum of its proper divisors (557741240).

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

419919400 is a wasteful number, since it uses less digits than its factorization.

419919400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2905 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 37.

The square root of 419919400 is about 20491.9349989209. The cubic root of 419919400 is about 748.8393306480.

The spelling of 419919400 in words is "four hundred nineteen million, nine hundred nineteen thousand, four hundred".