419413940 has 96 divisors (see below), whose sum is σ = 986259456. Its totient is φ = 148544640.

The previous prime is 419413937. The next prime is 419413957. The reversal of 419413940 is 49314914.

It is a self number, because there is not a number n which added to its sum of digits gives 419413940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1880669 + ... + 1880891.

It is an arithmetic number, because the mean of its divisors is an integer number (10273536).

Almost surely, 2^419413940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419413940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493129728).

419413940 is an abundant number, since it is smaller than the sum of its proper divisors (566845516).

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

419413940 is a wasteful number, since it uses less digits than its factorization.

419413940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 419413940 is about 20479.5981405886. The cubic root of 419413940 is about 748.5387489167.

The spelling of 419413940 in words is "four hundred nineteen million, four hundred thirteen thousand, nine hundred forty".