419161680 has 270 divisors, whose sum is σ = 1652671566. Its totient is φ = 94929408.

The previous prime is 419161669. The next prime is 419161681. The reversal of 419161680 is 86161914.

It is a happy number.

419161680 is a `hidden beast` number, since 419 + 161 + 6 + 80 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 105021504 + 314140176 = 10248^2 + 17724^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419161681) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3845466 + ... + 3845574.

Almost surely, 2^419161680 is an apocalyptic number.

419161680 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 419161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826335783).

419161680 is an abundant number, since it is smaller than the sum of its proper divisors (1233509886).

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

419161680 is a wasteful number, since it uses less digits than its factorization.

419161680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 419161680 is about 20473.4384019881. The cubic root of 419161680 is about 748.3886472022.

The spelling of 419161680 in words is "four hundred nineteen million, one hundred sixty-one thousand, six hundred eighty".