419461728 has 48 divisors (see below), whose sum is σ = 1258387200. Its totient is φ = 119846016.

The previous prime is 419461709. The next prime is 419461729. The reversal of 419461728 is 827164914.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 419461728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419461729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311428 + ... + 312771.

It is an arithmetic number, because the mean of its divisors is an integer number (26216400).

Almost surely, 2^419461728 is an apocalyptic number.

419461728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

419461728 is an abundant number, since it is smaller than the sum of its proper divisors (838925472).

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

419461728 is a wasteful number, since it uses less digits than its factorization.

419461728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624219 (or 624211 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 419461728 is about 20480.7648294686. The cubic root of 419461728 is about 748.5671773243.

The spelling of 419461728 in words is "four hundred nineteen million, four hundred sixty-one thousand, seven hundred twenty-eight".