419443640 has 256 divisors, whose sum is σ = 1274019840. Its totient is φ = 120384000.

The previous prime is 419443637. The next prime is 419443679. The reversal of 419443640 is 46344914.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 419443640.

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 63 ways as a sum of consecutive naturals, for example, 2195945 + ... + 2196135.

It is an arithmetic number, because the mean of its divisors is an integer number (4976640).

Almost surely, 2^419443640 is an apocalyptic number.

419443640 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 419443640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637009920).

419443640 is an abundant number, since it is smaller than the sum of its proper divisors (854576200).

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

419443640 is a wasteful number, since it uses less digits than its factorization.

419443640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 419443640 is about 20480.3232396366. The cubic root of 419443640 is about 748.5564172820.

The spelling of 419443640 in words is "four hundred nineteen million, four hundred forty-three thousand, six hundred forty".