471552000 has 208 divisors, whose sum is σ = 1574244672. Its totient is φ = 125337600.

The previous prime is 471551999. The next prime is 471552007. The reversal of 471552000 is 255174.

It is a super-2 number, since 2×471552000² = 444722577408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (471552007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535847 + ... + 1536153.

It is an arithmetic number, because the mean of its divisors is an integer number (7568484).

Almost surely, 2^471552000 is an apocalyptic number.

471552000 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 471552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787122336).

471552000 is an abundant number, since it is smaller than the sum of its proper divisors (1102692672).

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

471552000 is an equidigital number, since it uses as much as digits as its factorization.

471552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 471552000 is about 21715.2480989741. The cubic root of 471552000 is about 778.3528687002.

The spelling of 471552000 in words is "four hundred seventy-one million, five hundred fifty-two thousand".