475021800 has 288 divisors, whose sum is σ = 1800926400. Its totient is φ = 114998400.

The previous prime is 475021763. The next prime is 475021853. The reversal of 475021800 is 8120574.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 653037 + ... + 653763.

Almost surely, 2^475021800 is an apocalyptic number.

475021800 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 475021800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900463200).

475021800 is an abundant number, since it is smaller than the sum of its proper divisors (1325904600).

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

475021800 is a wasteful number, since it uses less digits than its factorization.

475021800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 475021800 is about 21794.9948382650. The cubic root of 475021800 is about 780.2573115567.

The spelling of 475021800 in words is "four hundred seventy-five million, twenty-one thousand, eight hundred".