416345328 has 120 divisors (see below), whose sum is σ = 1401795200. Its totient is φ = 112689792.

The previous prime is 416345327. The next prime is 416345339. The reversal of 416345328 is 823543614.

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

It is a junction number, because it is equal to n+sod(n) for n = 416345292 and 416345301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416345327) 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, 8283 + ... + 30021.

Almost surely, 2^416345328 is an apocalyptic number.

416345328 is a gapful number since it is divisible by the number (48) 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 416345328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700897600).

416345328 is an abundant number, since it is smaller than the sum of its proper divisors (985449872).

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

416345328 is a wasteful number, since it uses less digits than its factorization.

416345328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21779 (or 21770 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 416345328 is about 20404.5418473437. The cubic root of 416345328 is about 746.7087352289.

It can be divided in two parts, 416 and 345328, that added together give a square (345744 = 588²).

The spelling of 416345328 in words is "four hundred sixteen million, three hundred forty-five thousand, three hundred twenty-eight".