475050400 has 144 divisors (see below), whose sum is σ = 1300229280. Its totient is φ = 167961600.

The previous prime is 475050383. The next prime is 475050413. The reversal of 475050400 is 4050574.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 324871 + ... + 326329.

It is an arithmetic number, because the mean of its divisors is an integer number (9029370).

Almost surely, 2^475050400 is an apocalyptic number.

475050400 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 475050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650114640).

475050400 is an abundant number, since it is smaller than the sum of its proper divisors (825178880).

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

475050400 is a wasteful number, since it uses less digits than its factorization.

475050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 475050400 is about 21795.6509423325. The cubic root of 475050400 is about 780.2729704249.

The spelling of 475050400 in words is "four hundred seventy-five million, fifty thousand, four hundred".