477804096 has 588 divisors, whose sum is σ = 1898934480. Its totient is φ = 117573120.

The previous prime is 477804083. The next prime is 477804097. The reversal of 477804096 is 690408774.

It is a tau number, because it is divible by the number of its divisors (588).

It is not an unprimeable number, because it can be changed into a prime (477804097) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 25147575 + ... + 25147593.

Almost surely, 2^477804096 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 477804096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949467240).

477804096 is an abundant number, since it is smaller than the sum of its proper divisors (1421130384).

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

477804096 is a wasteful number, since it uses less digits than its factorization.

477804096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 477804096 is about 21858.7304297391. The cubic root of 477804096 is about 781.7777204162. Note that the first 4 decimals are identical.

The spelling of 477804096 in words is "four hundred seventy-seven million, eight hundred four thousand, ninety-six".