416120480 has 96 divisors (see below), whose sum is σ = 1015111440. Its totient is φ = 161095680.

The previous prime is 416120473. The next prime is 416120483. The reversal of 416120480 is 84021614.

It can be written as a sum of positive squares in 8 ways, for example, as 100560784 + 315559696 = 10028^2 + 17764^2 .

It is not an unprimeable number, because it can be changed into a prime (416120483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1502102 + ... + 1502378.

Almost surely, 2^416120480 is an apocalyptic number.

416120480 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 416120480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507555720).

416120480 is an abundant number, since it is smaller than the sum of its proper divisors (598990960).

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

416120480 is a wasteful number, since it uses less digits than its factorization.

416120480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 416120480 is about 20399.0313495519. The cubic root of 416120480 is about 746.5742905844.

The spelling of 416120480 in words is "four hundred sixteen million, one hundred twenty thousand, four hundred eighty".