416076640 has 144 divisors (see below), whose sum is σ = 1160726112. Its totient is φ = 140507136.

The previous prime is 416076631. The next prime is 416076641. The reversal of 416076640 is 46670614.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 416076596 and 416076605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416076641) 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 23 ways as a sum of consecutive naturals, for example, 571957 + ... + 572683.

It is an arithmetic number, because the mean of its divisors is an integer number (8060598).

Almost surely, 2^416076640 is an apocalyptic number.

416076640 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 416076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580363056).

416076640 is an abundant number, since it is smaller than the sum of its proper divisors (744649472).

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

416076640 is a wasteful number, since it uses less digits than its factorization.

416076640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 416076640 is about 20397.9567604209. The cubic root of 416076640 is about 746.5480714420.

The spelling of 416076640 in words is "four hundred sixteen million, seventy-six thousand, six hundred forty".