419412480 has 160 divisors (see below), whose sum is σ = 1357038144. Its totient is φ = 110493696.

The previous prime is 419412467. The next prime is 419412503. The reversal of 419412480 is 84214914.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744679 + ... + 745241.

Almost surely, 2^419412480 is an apocalyptic number.

419412480 is a gapful number since it is divisible by the number (40) 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 419412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678519072).

419412480 is an abundant number, since it is smaller than the sum of its proper divisors (937625664).

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

419412480 is an equidigital number, since it uses as much as digits as its factorization.

419412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 419412480 is about 20479.5624953269. The cubic root of 419412480 is about 748.5378803493.

The spelling of 419412480 in words is "four hundred nineteen million, four hundred twelve thousand, four hundred eighty".