416928360 has 128 divisors (see below), whose sum is σ = 1350432000. Its totient is φ = 102660096.

The previous prime is 416928311. The next prime is 416928367. The reversal of 416928360 is 63829614.

It is not an unprimeable number, because it can be changed into a prime (416928367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77436 + ... + 82644.

It is an arithmetic number, because the mean of its divisors is an integer number (10550250).

Almost surely, 2^416928360 is an apocalyptic number.

416928360 is a gapful number since it is divisible by the number (40) 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 416928360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675216000).

416928360 is an abundant number, since it is smaller than the sum of its proper divisors (933503640).

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

416928360 is a wasteful number, since it uses less digits than its factorization.

416928360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275 (or 5271 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 416928360 is about 20418.8236683703. The cubic root of 416928360 is about 747.0571255342.

The spelling of 416928360 in words is "four hundred sixteen million, nine hundred twenty-eight thousand, three hundred sixty".