419730912 has 72 divisors (see below), whose sum is σ = 1221404184. Its totient is φ = 136652544.

The previous prime is 419730907. The next prime is 419730937. The reversal of 419730912 is 219037914.

It is a tau number, because it is divible by the number of its divisors (72).

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

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 11 ways as a sum of consecutive naturals, for example, 4563 + ... + 29330.

It is an arithmetic number, because the mean of its divisors is an integer number (16963947).

Almost surely, 2^419730912 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 419730912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610702092).

419730912 is an abundant number, since it is smaller than the sum of its proper divisors (801673272).

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

419730912 is a wasteful number, since it uses less digits than its factorization.

419730912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33952 (or 33941 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 419730912 is about 20487.3354050740. The cubic root of 419730912 is about 748.7272707688.

The spelling of 419730912 in words is "four hundred nineteen million, seven hundred thirty thousand, nine hundred twelve".