419729472 has 112 divisors (see below), whose sum is σ = 1257482880. Its totient is φ = 137240064.

The previous prime is 419729413. The next prime is 419729477. The reversal of 419729472 is 274927914.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419729477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89293 + ... + 93875.

Almost surely, 2^419729472 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 419729472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628741440).

419729472 is an abundant number, since it is smaller than the sum of its proper divisors (837753408).

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

419729472 is a wasteful number, since it uses less digits than its factorization.

419729472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4641 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 419729472 is about 20487.3002613814. The cubic root of 419729472 is about 748.7264145309.

The spelling of 419729472 in words is "four hundred nineteen million, seven hundred twenty-nine thousand, four hundred seventy-two".