471679560 has 192 divisors, whose sum is σ = 1760616000. Its totient is φ = 108311040.

The previous prime is 471679547. The next prime is 471679573. The reversal of 471679560 is 65976174.

It is a happy number.

471679560 is a `hidden beast` number, since 4 + 7 + 16 + 79 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (471679547) and next prime (471679573).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 72106 + ... + 78374.

It is an arithmetic number, because the mean of its divisors is an integer number (9169875).

Almost surely, 2^471679560 is an apocalyptic number.

471679560 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 471679560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880308000).

471679560 is an abundant number, since it is smaller than the sum of its proper divisors (1288936440).

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

471679560 is a wasteful number, since it uses less digits than its factorization.

471679560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6316 (or 6309 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 471679560 is about 21718.1850070396. The cubic root of 471679560 is about 778.4230467085.

The spelling of 471679560 in words is "four hundred seventy-one million, six hundred seventy-nine thousand, five hundred sixty".