416482560 has 432 divisors, whose sum is σ = 1624930944. Its totient is φ = 101523456.

The previous prime is 416482559. The next prime is 416482571. The reversal of 416482560 is 65284614.

416482560 is a `hidden beast` number, since 4 + 1 + 648 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4043469 + ... + 4043571.

Almost surely, 2^416482560 is an apocalyptic number.

416482560 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 416482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812465472).

416482560 is an abundant number, since it is smaller than the sum of its proper divisors (1208448384).

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

416482560 is a wasteful number, since it uses less digits than its factorization.

416482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 416482560 is about 20407.9043510107. The cubic root of 416482560 is about 746.7907673544.

The spelling of 416482560 in words is "four hundred sixteen million, four hundred eighty-two thousand, five hundred sixty".