475524000 has 768 divisors, whose sum is σ = 2151152640. Its totient is φ = 99532800.

The previous prime is 475523981. The next prime is 475524013. The reversal of 475524000 is 425574.

It is a super-2 number, since 2×475524000² = 452246149152000000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12851982 + ... + 12852018.

It is an arithmetic number, because the mean of its divisors is an integer number (2800980).

Almost surely, 2^475524000 is an apocalyptic number.

475524000 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 475524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075576320).

475524000 is an abundant number, since it is smaller than the sum of its proper divisors (1675628640).

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

475524000 is a wasteful number, since it uses less digits than its factorization.

475524000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 475524000 is about 21806.5127886143. The cubic root of 475524000 is about 780.5321811976.

Adding to 475524000 its reverse (425574), we get a palindrome (475949574).

The spelling of 475524000 in words is "four hundred seventy-five million, five hundred twenty-four thousand".