475534800 has 300 divisors, whose sum is σ = 1839565420. Its totient is φ = 116951040.

The previous prime is 475534757. The next prime is 475534853. The reversal of 475534800 is 8435574.

475534800 is a `hidden beast` number, since 47 + 5 + 534 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 143712144 + 331822656 = 11988^2 + 18216^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×475534800² = 452266692022080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 420636 + ... + 421764.

Almost surely, 2^475534800 is an apocalyptic number.

475534800 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 475534800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919782710).

475534800 is an abundant number, since it is smaller than the sum of its proper divisors (1364030620).

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

475534800 is a wasteful number, since it uses less digits than its factorization.

475534800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 475534800 is about 21806.7604196497. The cubic root of 475534800 is about 780.5380902465.

The spelling of 475534800 in words is "four hundred seventy-five million, five hundred thirty-four thousand, eight hundred".