419779640 has 128 divisors (see below), whose sum is σ = 1182729600. Its totient is φ = 130744320.

The previous prime is 419779639. The next prime is 419779681. The reversal of 419779640 is 46977914.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 136520 + ... + 139560.

It is an arithmetic number, because the mean of its divisors is an integer number (9240075).

Almost surely, 2^419779640 is an apocalyptic number.

419779640 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 419779640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591364800).

419779640 is an abundant number, since it is smaller than the sum of its proper divisors (762949960).

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

419779640 is a wasteful number, since it uses less digits than its factorization.

419779640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 419779640 is about 20488.5245930496. The cubic root of 419779640 is about 748.7562437525.

The spelling of 419779640 in words is "four hundred nineteen million, seven hundred seventy-nine thousand, six hundred forty".