416080000 has 160 divisors (see below), whose sum is σ = 1185370560. Its totient is φ = 142464000.

The previous prime is 416079991. The next prime is 416080009. The reversal of 416080000 is 80614.

It is an interprime number because it is at equal distance from previous prime (416079991) and next prime (416080009).

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

It is a self number, because there is not a number n which added to its sum of digits gives 416080000.

It is not an unprimeable number, because it can be changed into a prime (416080009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 559629 + ... + 560371.

It is an arithmetic number, because the mean of its divisors is an integer number (7408566).

Almost surely, 2^416080000 is an apocalyptic number.

416080000 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 416080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592685280).

416080000 is an abundant number, since it is smaller than the sum of its proper divisors (769290560).

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

416080000 is an frugal number, since it uses more digits than its factorization.

416080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 416080000 is about 20398.0391214450. The cubic root of 416080000 is about 746.5500810034.

The spelling of 416080000 in words is "four hundred sixteen million, eighty thousand".