475372800 has 540 divisors, whose sum is σ = 2024099616. Its totient is φ = 107827200.

The previous prime is 475372787. The next prime is 475372801. The reversal of 475372800 is 8273574.

475372800 is a `hidden beast` number, since 47 + 537 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475372801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628735 + ... + 3628865.

Almost surely, 2^475372800 is an apocalyptic number.

475372800 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 475372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012049808).

475372800 is an abundant number, since it is smaller than the sum of its proper divisors (1548726816).

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

475372800 is a wasteful number, since it uses less digits than its factorization.

475372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 475372800 is about 21803.0456588065. The cubic root of 475372800 is about 780.4494451167.

The spelling of 475372800 in words is "four hundred seventy-five million, three hundred seventy-two thousand, eight hundred".