476775648 has 144 divisors (see below), whose sum is σ = 1426553856. Its totient is φ = 150754560.

The previous prime is 476775647. The next prime is 476775703. The reversal of 476775648 is 846577674.

476775648 is a `hidden beast` number, since 4 + 7 + 6 + 77 + 564 + 8 = 666.

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

It is a super-3 number, since 3×476775648³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 476775594 and 476775603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (476775647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1105993 + ... + 1106423.

It is an arithmetic number, because the mean of its divisors is an integer number (9906624).

Almost surely, 2^476775648 is an apocalyptic number.

476775648 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 476775648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713276928).

476775648 is an abundant number, since it is smaller than the sum of its proper divisors (949778208).

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

476775648 is a wasteful number, since it uses less digits than its factorization.

476775648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 626 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 476775648 is about 21835.1928775543. The cubic root of 476775648 is about 781.2164057832.

The spelling of 476775648 in words is "four hundred seventy-six million, seven hundred seventy-five thousand, six hundred forty-eight".