419970460 has 192 divisors, whose sum is σ = 1148716800. Its totient is φ = 125411328.

The previous prime is 419970443. The next prime is 419970469. The reversal of 419970460 is 64079914.

It is a happy number.

It is a super-2 number, since 2×419970460² = 352750374545223200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419970469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852886 + ... + 3852994.

It is an arithmetic number, because the mean of its divisors is an integer number (5982900).

Almost surely, 2^419970460 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 419970460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574358400).

419970460 is an abundant number, since it is smaller than the sum of its proper divisors (728746340).

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

419970460 is a wasteful number, since it uses less digits than its factorization.

419970460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 419970460 is about 20493.1808170425. The cubic root of 419970460 is about 748.8696810650.

The spelling of 419970460 in words is "four hundred nineteen million, nine hundred seventy thousand, four hundred sixty".