477790848 has 192 divisors, whose sum is σ = 1504638720. Its totient is φ = 144875520.

The previous prime is 477790847. The next prime is 477790877. The reversal of 477790848 is 848097774.

477790848 is a `hidden beast` number, since 477 + 7 + 90 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 477790794 and 477790803.

It is not an unprimeable number, because it can be changed into a prime (477790847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 606711 + ... + 607497.

It is an arithmetic number, because the mean of its divisors is an integer number (7836660).

Almost surely, 2^477790848 is an apocalyptic number.

477790848 is a gapful number since it is divisible by the number (48) 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 477790848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752319360).

477790848 is an abundant number, since it is smaller than the sum of its proper divisors (1026847872).

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

477790848 is a wasteful number, since it uses less digits than its factorization.

477790848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 477790848 is about 21858.4273908257. The cubic root of 477790848 is about 781.7704949395.

The spelling of 477790848 in words is "four hundred seventy-seven million, seven hundred ninety thousand, eight hundred forty-eight".