475741000 has 256 divisors, whose sum is σ = 1385280000. Its totient is φ = 152409600.

The previous prime is 475740959. The next prime is 475741001. The reversal of 475741000 is 147574.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 475741000.

It is not an unprimeable number, because it can be changed into a prime (475741001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6516964 + ... + 6517036.

It is an arithmetic number, because the mean of its divisors is an integer number (5411250).

Almost surely, 2^475741000 is an apocalyptic number.

475741000 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 475741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692640000).

475741000 is an abundant number, since it is smaller than the sum of its proper divisors (909539000).

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

475741000 is a wasteful number, since it uses less digits than its factorization.

475741000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 475741000 is about 21811.4877988642. The cubic root of 475741000 is about 780.6508921534.

Adding to 475741000 its reverse (147574), we get a palindrome (475888574).

The spelling of 475741000 in words is "four hundred seventy-five million, seven hundred forty-one thousand".