475051200 has 336 divisors, whose sum is σ = 1756720896. Its totient is φ = 111513600.

The previous prime is 475051163. The next prime is 475051201. The reversal of 475051200 is 2150574.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475051201) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1435035 + ... + 1435365.

It is an arithmetic number, because the mean of its divisors is an integer number (5228336).

Almost surely, 2^475051200 is an apocalyptic number.

475051200 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 475051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878360448).

475051200 is an abundant number, since it is smaller than the sum of its proper divisors (1281669696).

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

475051200 is a wasteful number, since it uses less digits than its factorization.

475051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 475051200 is about 21795.6692946099. The cubic root of 475051200 is about 780.2734084262.

The spelling of 475051200 in words is "four hundred seventy-five million, fifty-one thousand, two hundred".