471852000 has 384 divisors, whose sum is σ = 1825649280. Its totient is φ = 117964800.

The previous prime is 471851993. The next prime is 471852053. The reversal of 471852000 is 258174.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1835872 + ... + 1836128.

It is an arithmetic number, because the mean of its divisors is an integer number (4754295).

Almost surely, 2^471852000 is an apocalyptic number.

471852000 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 471852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912824640).

471852000 is an abundant number, since it is smaller than the sum of its proper divisors (1353797280).

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

471852000 is a wasteful number, since it uses less digits than its factorization.

471852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 471852000 is about 21722.1545892667. The cubic root of 471852000 is about 778.5178956463.

The spelling of 471852000 in words is "four hundred seventy-one million, eight hundred fifty-two thousand".