416981160 has 96 divisors (see below), whose sum is σ = 1358327880. Its totient is φ = 110937600.

The previous prime is 416981153. The next prime is 416981161. The reversal of 416981160 is 61189614.

It is a happy number.

416981160 is a `hidden beast` number, since 416 + 9 + 81 + 160 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 395134884 + 21846276 = 19878^2 + 4674^2 .

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

It is not an unprimeable number, because it can be changed into a prime (416981161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193690 + ... + 195830.

Almost surely, 2^416981160 is an apocalyptic number.

416981160 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 416981160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679163940).

416981160 is an abundant number, since it is smaller than the sum of its proper divisors (941346720).

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

416981160 is a wasteful number, since it uses less digits than its factorization.

416981160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2699 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 416981160 is about 20420.1165520670. The cubic root of 416981160 is about 747.0886600895.

The spelling of 416981160 in words is "four hundred sixteen million, nine hundred eighty-one thousand, one hundred sixty".