475370400 has 144 divisors (see below), whose sum is σ = 1585398528. Its totient is φ = 123648000.

The previous prime is 475370393. The next prime is 475370419. The reversal of 475370400 is 4073574.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95985 + ... + 100815.

It is an arithmetic number, because the mean of its divisors is an integer number (11009712).

Almost surely, 2^475370400 is an apocalyptic number.

475370400 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 475370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792699264).

475370400 is an abundant number, since it is smaller than the sum of its proper divisors (1110028128).

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

475370400 is a wasteful number, since it uses less digits than its factorization.

475370400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895 (or 4882 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 475370400 is about 21802.9906205548. The cubic root of 475370400 is about 780.4481317042.

The spelling of 475370400 in words is "four hundred seventy-five million, three hundred seventy thousand, four hundred".