477808416 has 96 divisors (see below), whose sum is σ = 1413417600. Its totient is φ = 157006080.

The previous prime is 477808403. The next prime is 477808421. The reversal of 477808416 is 614808774.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57450 + ... + 65238.

It is an arithmetic number, because the mean of its divisors is an integer number (14723100).

Almost surely, 2^477808416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477808416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706708800).

477808416 is an abundant number, since it is smaller than the sum of its proper divisors (935609184).

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

477808416 is a wasteful number, since it uses less digits than its factorization.

477808416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 477808416 is about 21858.8292458677. The cubic root of 477808416 is about 781.7800765210.

The spelling of 477808416 in words is "four hundred seventy-seven million, eight hundred eight thousand, four hundred sixteen".