419513472 has 128 divisors (see below), whose sum is σ = 1415107200. Its totient is φ = 119854080.

The previous prime is 419513441. The next prime is 419513489. The reversal of 419513472 is 274315914.

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

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

It is an unprimeable number.

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, 15522 + ... + 32862.

It is an arithmetic number, because the mean of its divisors is an integer number (11055525).

Almost surely, 2^419513472 is an apocalyptic number.

419513472 is a gapful number since it is divisible by the number (42) 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 419513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707553600).

419513472 is an abundant number, since it is smaller than the sum of its proper divisors (995593728).

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

419513472 is a wasteful number, since it uses less digits than its factorization.

419513472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17371 (or 17353 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 419513472 is about 20482.0280245878. The cubic root of 419513472 is about 748.5979566659.

The spelling of 419513472 in words is "four hundred nineteen million, five hundred thirteen thousand, four hundred seventy-two".