471497760 has 288 divisors, whose sum is σ = 1702838592. Its totient is φ = 123171840.

The previous prime is 471497753. The next prime is 471497773. The reversal of 471497760 is 67794174.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2604870 + ... + 2605050.

It is an arithmetic number, because the mean of its divisors is an integer number (5912634).

Almost surely, 2^471497760 is an apocalyptic number.

471497760 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 471497760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851419296).

471497760 is an abundant number, since it is smaller than the sum of its proper divisors (1231340832).

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

471497760 is a wasteful number, since it uses less digits than its factorization.

471497760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 471497760 is about 21713.9991710417. Note that the first 3 decimals coincide. The cubic root of 471497760 is about 778.3230243575.

The spelling of 471497760 in words is "four hundred seventy-one million, four hundred ninety-seven thousand, seven hundred sixty".