471161600 has 216 divisors, whose sum is σ = 1437095520. Its totient is φ = 148930560.

The previous prime is 471161597. The next prime is 471161611. The reversal of 471161600 is 6161174.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 471161600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 581996 + ... + 582804.

It is an arithmetic number, because the mean of its divisors is an integer number (6653220).

Almost surely, 2^471161600 is an apocalyptic number.

471161600 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 471161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718547760).

471161600 is an abundant number, since it is smaller than the sum of its proper divisors (965933920).

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

471161600 is a wasteful number, since it uses less digits than its factorization.

471161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 471161600 is about 21706.2571623944. The cubic root of 471161600 is about 778.1380087931.

The spelling of 471161600 in words is "four hundred seventy-one million, one hundred sixty-one thousand, six hundred".