419142472 has 48 divisors (see below), whose sum is σ = 917356860. Its totient is φ = 179012736.

The previous prime is 419142461. The next prime is 419142487. The reversal of 419142472 is 274241914.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 417221476 + 1920996 = 20426^2 + 1386^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122578 + ... + 125950.

Almost surely, 2^419142472 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 419142472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458678430).

419142472 is an abundant number, since it is smaller than the sum of its proper divisors (498214388).

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

419142472 is a wasteful number, since it uses less digits than its factorization.

419142472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710 (or 3699 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The square root of 419142472 is about 20472.9693010076. The cubic root of 419142472 is about 748.3772154410.

The spelling of 419142472 in words is "four hundred nineteen million, one hundred forty-two thousand, four hundred seventy-two".