475545600 has 360 divisors, whose sum is σ = 1787767520. Its totient is φ = 123863040.

The previous prime is 475545599. The next prime is 475545619. The reversal of 475545600 is 6545574.

It is a happy number.

475545600 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 45 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×475545600² = 452287235358720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11059179 + ... + 11059221.

Almost surely, 2^475545600 is an apocalyptic number.

475545600 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 475545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893883760).

475545600 is an abundant number, since it is smaller than the sum of its proper divisors (1312221920).

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

475545600 is an equidigital number, since it uses as much as digits as its factorization.

475545600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 475545600 is about 21807.0080478731. The cubic root of 475545600 is about 780.5439992060.

The spelling of 475545600 in words is "four hundred seventy-five million, five hundred forty-five thousand, six hundred".