416318080 has 64 divisors (see below), whose sum is σ = 1022217480. Its totient is φ = 162017280.

The previous prime is 416318047. The next prime is 416318087. The reversal of 416318080 is 80813614.

It can be written as a sum of positive squares in 4 ways, for example, as 363436096 + 52881984 = 19064^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (416318087) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14890 + ... + 32470.

Almost surely, 2^416318080 is an apocalyptic number.

416318080 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 416318080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511108740).

416318080 is an abundant number, since it is smaller than the sum of its proper divisors (605899400).

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

416318080 is a wasteful number, since it uses less digits than its factorization.

416318080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17637 (or 17625 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 416318080 is about 20403.8741419369. The cubic root of 416318080 is about 746.6924452551.

The spelling of 416318080 in words is "four hundred sixteen million, three hundred eighteen thousand, eighty".