416373088 has 48 divisors (see below), whose sum is σ = 838688256. Its totient is φ = 203407360.

The previous prime is 416373079. The next prime is 416373109. The reversal of 416373088 is 880373614.

It is a self number, because there is not a number n which added to its sum of digits gives 416373088.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 649248 + ... + 649888.

It is an arithmetic number, because the mean of its divisors is an integer number (17472672).

Almost surely, 2^416373088 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 416373088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419344128).

416373088 is an abundant number, since it is smaller than the sum of its proper divisors (422315168).

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

416373088 is a wasteful number, since it uses less digits than its factorization.

416373088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 416373088 is about 20405.2220767136. Note that the first 3 decimals coincide. The cubic root of 416373088 is about 746.7253305665.

The spelling of 416373088 in words is "four hundred sixteen million, three hundred seventy-three thousand, eighty-eight".