474975648 has 144 divisors (see below), whose sum is σ = 1634592960. Its totient is φ = 127715328.

The previous prime is 474975647. The next prime is 474975671. The reversal of 474975648 is 846579474.

474975648 is a `hidden beast` number, since 4 + 74 + 9 + 7 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 474975594 and 474975603.

It is not an unprimeable number, because it can be changed into a prime (474975647) 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, 27343 + ... + 41201.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 2^474975648 is an apocalyptic number.

474975648 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 474975648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817296480).

474975648 is an abundant number, since it is smaller than the sum of its proper divisors (1159617312).

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

474975648 is a wasteful number, since it uses less digits than its factorization.

474975648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899 (or 13888 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 474975648 is about 21793.9360373476. The cubic root of 474975648 is about 780.2320414170.

The spelling of 474975648 in words is "four hundred seventy-four million, nine hundred seventy-five thousand, six hundred forty-eight".