416796960 has 48 divisors (see below), whose sum is σ = 1312911936. Its totient is φ = 111145728.

The previous prime is 416796959. The next prime is 416796967. The reversal of 416796960 is 69697614.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (416796967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433684 + ... + 434643.

It is an arithmetic number, because the mean of its divisors is an integer number (27352332).

Almost surely, 2^416796960 is an apocalyptic number.

416796960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416796960 is an abundant number, since it is smaller than the sum of its proper divisors (896114976).

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

416796960 is a wasteful number, since it uses less digits than its factorization.

416796960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868345 (or 868337 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 416796960 is about 20415.6057955673. The cubic root of 416796960 is about 746.9786359343.

The spelling of 416796960 in words is "four hundred sixteen million, seven hundred ninety-six thousand, nine hundred sixty".