475947648 has 288 divisors, whose sum is σ = 1583880480. Its totient is φ = 136012800.

The previous prime is 475947617. The next prime is 475947733. The reversal of 475947648 is 846749574.

475947648 is a `hidden beast` number, since 4 + 7 + 594 + 7 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 475947594 and 475947603.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6703453 + ... + 6703523.

It is an arithmetic number, because the mean of its divisors is an integer number (5499585).

Almost surely, 2^475947648 is an apocalyptic number.

475947648 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 475947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791940240).

475947648 is an abundant number, since it is smaller than the sum of its proper divisors (1107932832).

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

475947648 is a wasteful number, since it uses less digits than its factorization.

475947648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

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

The square root of 475947648 is about 21816.2244212879. The cubic root of 475947648 is about 780.7639064432.

The spelling of 475947648 in words is "four hundred seventy-five million, nine hundred forty-seven thousand, six hundred forty-eight".