416133160 has 32 divisors (see below), whose sum is σ = 942597000. Its totient is φ = 165333760.

The previous prime is 416133143. The next prime is 416133161. The reversal of 416133160 is 61331614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 154405476 + 261727684 = 12426^2 + 16178^2 .

It is not an unprimeable number, because it can be changed into a prime (416133161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28951 + ... + 40870.

Almost surely, 2^416133160 is an apocalyptic number.

416133160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416133160 is an abundant number, since it is smaller than the sum of its proper divisors (526463840).

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

416133160 is a wasteful number, since it uses less digits than its factorization.

416133160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69981 (or 69977 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 416133160 is about 20399.3421462556. The cubic root of 416133160 is about 746.5818736974.

Adding to 416133160 its reverse (61331614), we get a palindrome (477464774).

The spelling of 416133160 in words is "four hundred sixteen million, one hundred thirty-three thousand, one hundred sixty".