416904480 has 144 divisors (see below), whose sum is σ = 1439114040. Its totient is φ = 109891584.

The previous prime is 416904431. The next prime is 416904491. The reversal of 416904480 is 84409614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 386830224 + 30074256 = 19668^2 + 5484^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 126534 + ... + 129786.

Almost surely, 2^416904480 is an apocalyptic number.

416904480 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 416904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719557020).

416904480 is an abundant number, since it is smaller than the sum of its proper divisors (1022209560).

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

416904480 is a wasteful number, since it uses less digits than its factorization.

416904480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 416904480 is about 20418.2389054492. The cubic root of 416904480 is about 747.0428624406.

The spelling of 416904480 in words is "four hundred sixteen million, nine hundred four thousand, four hundred eighty".