416361088 has 192 divisors, whose sum is σ = 1042382880. Its totient is φ = 163215360.

The previous prime is 416361083. The next prime is 416361103. The reversal of 416361088 is 880163614.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (416361083) 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, 9682795 + ... + 9682837.

Almost surely, 2^416361088 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 416361088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521191440).

416361088 is an abundant number, since it is smaller than the sum of its proper divisors (626021792).

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

416361088 is a wasteful number, since it uses less digits than its factorization.

416361088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 416361088 is about 20404.9280322181. The cubic root of 416361088 is about 746.7181568800.

It can be divided in two parts, 41636 and 1088, that added together give a palindrome (42724).

The spelling of 416361088 in words is "four hundred sixteen million, three hundred sixty-one thousand, eighty-eight".