475788000 has 192 divisors, whose sum is σ = 1610219520. Its totient is φ = 122688000.

The previous prime is 475787989. The next prime is 475788023. The reversal of 475788000 is 887574.

It is a self number, because there is not a number n which added to its sum of digits gives 475788000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371361 + ... + 372639.

It is an arithmetic number, because the mean of its divisors is an integer number (8386560).

Almost surely, 2^475788000 is an apocalyptic number.

475788000 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 475788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805109760).

475788000 is an abundant number, since it is smaller than the sum of its proper divisors (1134431520).

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

475788000 is a wasteful number, since it uses less digits than its factorization.

475788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 475788000 is about 21812.5651861490. The cubic root of 475788000 is about 780.6765989867.

The spelling of 475788000 in words is "four hundred seventy-five million, seven hundred eighty-eight thousand".