416180352 has 128 divisors (see below), whose sum is σ = 1276093440. Its totient is φ = 117715968.

The previous prime is 416180321. The next prime is 416180353. The reversal of 416180352 is 253081614.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (416180353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286893 + ... + 288339.

It is an arithmetic number, because the mean of its divisors is an integer number (9969480).

Almost surely, 2^416180352 is an apocalyptic number.

416180352 is a gapful number since it is divisible by the number (42) 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 416180352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638046720).

416180352 is an abundant number, since it is smaller than the sum of its proper divisors (859913088).

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

416180352 is a wasteful number, since it uses less digits than its factorization.

416180352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 416180352 is about 20400.4988174309. The cubic root of 416180352 is about 746.6100949203.

The spelling of 416180352 in words is "four hundred sixteen million, one hundred eighty thousand, three hundred fifty-two".