419798400 has 192 divisors, whose sum is σ = 1580494080. Its totient is φ = 95938560.

The previous prime is 419798389. The next prime is 419798413. The reversal of 419798400 is 4897914.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 64077 + ... + 70323.

It is an arithmetic number, because the mean of its divisors is an integer number (8231740).

Almost surely, 2^419798400 is an apocalyptic number.

419798400 is a gapful number since it is divisible by the number (40) 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 419798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790247040).

419798400 is an abundant number, since it is smaller than the sum of its proper divisors (1160695680).

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

419798400 is a wasteful number, since it uses less digits than its factorization.

419798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6281 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 419798400 is about 20488.9824051855. The cubic root of 419798400 is about 748.7673975870.

The spelling of 419798400 in words is "four hundred nineteen million, seven hundred ninety-eight thousand, four hundred".