419672448 has 128 divisors (see below), whose sum is σ = 1334037600. Its totient is φ = 129116160.

The previous prime is 419672441. The next prime is 419672483. The reversal of 419672448 is 844276914.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×419672448² = 352249927220625408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419672441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40258 + ... + 49598.

Almost surely, 2^419672448 is an apocalyptic number.

419672448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667018800).

419672448 is an abundant number, since it is smaller than the sum of its proper divisors (914365152).

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

419672448 is a wasteful number, since it uses less digits than its factorization.

419672448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9377 (or 9359 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 419672448 is about 20485.9085226894. The cubic root of 419672448 is about 748.6925059369.

The spelling of 419672448 in words is "four hundred nineteen million, six hundred seventy-two thousand, four hundred forty-eight".