416276960 has 96 divisors (see below), whose sum is σ = 1136050272. Its totient is φ = 142458880.

The previous prime is 416276929. The next prime is 416276969. The reversal of 416276960 is 69672614.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416276969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22964 + ... + 36876.

It is an arithmetic number, because the mean of its divisors is an integer number (11833857).

Almost surely, 2^416276960 is an apocalyptic number.

416276960 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 416276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568025136).

416276960 is an abundant number, since it is smaller than the sum of its proper divisors (719773312).

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

416276960 is a wasteful number, since it uses less digits than its factorization.

416276960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 416276960 is about 20402.8664652788. The cubic root of 416276960 is about 746.6678606840.

The spelling of 416276960 in words is "four hundred sixteen million, two hundred seventy-six thousand, nine hundred sixty".