475792800 has 288 divisors, whose sum is σ = 1791885312. Its totient is φ = 107412480.

The previous prime is 475792799. The next prime is 475792817. The reversal of 475792800 is 8297574.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 47 ways as a sum of consecutive naturals, for example, 2133489 + ... + 2133711.

It is an arithmetic number, because the mean of its divisors is an integer number (6221824).

Almost surely, 2^475792800 is an apocalyptic number.

475792800 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 475792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895942656).

475792800 is an abundant number, since it is smaller than the sum of its proper divisors (1316092512).

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

475792800 is a wasteful number, since it uses less digits than its factorization.

475792800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 475792800 is about 21812.6752141960. The cubic root of 475792800 is about 780.6792242702.

The spelling of 475792800 in words is "four hundred seventy-five million, seven hundred ninety-two thousand, eight hundred".