416867328 has 66 divisors (see below), whose sum is σ = 1203721974. Its totient is φ = 138952704.

The previous prime is 416867317. The next prime is 416867329. The reversal of 416867328 is 823768614.

It can be written as a sum of positive squares in only one way, i.e., 414203904 + 2663424 = 20352^2 + 1632^2 .

It is not an unprimeable number, because it can be changed into a prime (416867329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13401 + ... + 31832.

Almost surely, 2^416867328 is an apocalyptic number.

416867328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

416867328 is an abundant number, since it is smaller than the sum of its proper divisors (786854646).

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

416867328 is a wasteful number, since it uses less digits than its factorization.

416867328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45259 (or 45238 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 416867328 is about 20417.3291103415. The cubic root of 416867328 is about 747.0206711376.

The spelling of 416867328 in words is "four hundred sixteen million, eight hundred sixty-seven thousand, three hundred twenty-eight".