471125760 has 288 divisors, whose sum is σ = 1822528512. Its totient is φ = 101253120.

The previous prime is 471125749. The next prime is 471125771. The reversal of 471125760 is 67521174.

It is an interprime number because it is at equal distance from previous prime (471125749) and next prime (471125771).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 456445 + ... + 457475.

It is an arithmetic number, because the mean of its divisors is an integer number (6328224).

Almost surely, 2^471125760 is an apocalyptic number.

471125760 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 471125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911264256).

471125760 is an abundant number, since it is smaller than the sum of its proper divisors (1351402752).

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

471125760 is a wasteful number, since it uses less digits than its factorization.

471125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 471125760 is about 21705.4315782939. The cubic root of 471125760 is about 778.1182780020.

The spelling of 471125760 in words is "four hundred seventy-one million, one hundred twenty-five thousand, seven hundred sixty".