414061840 has 40 divisors (see below), whose sum is σ = 975895128. Its totient is φ = 163353600.

The previous prime is 414061819. The next prime is 414061841. The reversal of 414061840 is 48160414.

It can be written as a sum of positive squares in 4 ways, for example, as 151880976 + 262180864 = 12324^2 + 16192^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 414061799 and 414061808.

It is not an unprimeable number, because it can be changed into a prime (414061841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29611 + ... + 41290.

Almost surely, 2^414061840 is an apocalyptic number.

414061840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414061840 is an abundant number, since it is smaller than the sum of its proper divisors (561833288).

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

414061840 is a wasteful number, since it uses less digits than its factorization.

414061840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70987 (or 70981 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 414061840 is about 20348.5095277271. The cubic root of 414061840 is about 745.3410987023.

The spelling of 414061840 in words is "four hundred fourteen million, sixty-one thousand, eight hundred forty".