416448648 has 320 divisors, whose sum is σ = 1492372800. Its totient is φ = 106686720.

The previous prime is 416448581. The next prime is 416448701. The reversal of 416448648 is 846844614.

416448648 is a `hidden beast` number, since 4 + 164 + 486 + 4 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (589824) is a multiple of the sum of its prime divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5704740 + ... + 5704812.

It is an arithmetic number, because the mean of its divisors is an integer number (4663665).

Almost surely, 2^416448648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416448648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746186400).

416448648 is an abundant number, since it is smaller than the sum of its proper divisors (1075924152).

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

416448648 is a wasteful number, since it uses less digits than its factorization.

416448648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 416448648 is about 20407.0734795561. The cubic root of 416448648 is about 746.7704977134.

The spelling of 416448648 in words is "four hundred sixteen million, four hundred forty-eight thousand, six hundred forty-eight".