419340740 has 96 divisors (see below), whose sum is σ = 1093962240. Its totient is φ = 131475456.

The previous prime is 419340737. The next prime is 419340749. The reversal of 419340740 is 47043914.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 419340697 and 419340706.

It is not an unprimeable number, because it can be changed into a prime (419340749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204641 + ... + 206679.

It is an arithmetic number, because the mean of its divisors is an integer number (11395440).

Almost surely, 2^419340740 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 419340740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

419340740 is an abundant number, since it is smaller than the sum of its proper divisors (674621500).

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

419340740 is a wasteful number, since it uses less digits than its factorization.

419340740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 419340740 is about 20477.8109181621. The cubic root of 419340740 is about 748.4951990812.

The spelling of 419340740 in words is "four hundred nineteen million, three hundred forty thousand, seven hundred forty".