419915340 has 240 divisors, whose sum is σ = 1438897152. Its totient is φ = 101896704.

The previous prime is 419915323. The next prime is 419915341. The reversal of 419915340 is 43519914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 419915295 and 419915304.

It is not an unprimeable number, because it can be changed into a prime (419915341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2674542 + ... + 2674698.

Almost surely, 2^419915340 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 419915340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719448576).

419915340 is an abundant number, since it is smaller than the sum of its proper divisors (1018981812).

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

419915340 is a wasteful number, since it uses less digits than its factorization.

419915340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 419915340 is about 20491.8359353182. The cubic root of 419915340 is about 748.8369172504.

The spelling of 419915340 in words is "four hundred nineteen million, nine hundred fifteen thousand, three hundred forty".