475696000 has 128 divisors (see below), whose sum is σ = 1274232960. Its totient is φ = 175564800.

The previous prime is 475695973. The next prime is 475696003. The reversal of 475696000 is 696574.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475696003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206857 + ... + 209143.

It is an arithmetic number, because the mean of its divisors is an integer number (9954945).

Almost surely, 2^475696000 is an apocalyptic number.

475696000 is a gapful number since it is divisible by the number (40) 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 475696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637116480).

475696000 is an abundant number, since it is smaller than the sum of its proper divisors (798536960).

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

475696000 is a wasteful number, since it uses less digits than its factorization.

475696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2329 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 475696000 is about 21810.4562079751. The cubic root of 475696000 is about 780.6262776413.

The spelling of 475696000 in words is "four hundred seventy-five million, six hundred ninety-six thousand".