475948704 has 288 divisors, whose sum is σ = 1633540608. Its totient is φ = 117849600.

The previous prime is 475948703. The next prime is 475948717. The reversal of 475948704 is 407849574.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (475948703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7103679 + ... + 7103745.

It is an arithmetic number, because the mean of its divisors is an integer number (5672016).

Almost surely, 2^475948704 is an apocalyptic number.

475948704 is a gapful number since it is divisible by the number (44) 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 475948704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816770304).

475948704 is an abundant number, since it is smaller than the sum of its proper divisors (1157591904).

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

475948704 is a wasteful number, since it uses less digits than its factorization.

475948704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 475948704 is about 21816.2486234458. The cubic root of 475948704 is about 780.7644838779.

The spelling of 475948704 in words is "four hundred seventy-five million, nine hundred forty-eight thousand, seven hundred four".