419640 has 64 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 102912.

The previous prime is 419623. The next prime is 419651. The reversal of 419640 is 46914.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 419640.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 419640.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426 + ... + 1694.

2⁴¹⁹⁶⁴⁰ is an apocalyptic number.

419640 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 419640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

419640 is an abundant number, since it is smaller than the sum of its proper divisors (941160).

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

419640 is a wasteful number, since it uses less digits than its factorization.

419640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 419640 is about 647.7962642683. The cubic root of 419640 is about 74.8673209777.

The spelling of 419640 in words is "four hundred nineteen thousand, six hundred forty".