471016840 has 256 divisors, whose sum is σ = 1368576000. Its totient is φ = 142248960.

The previous prime is 471016831. The next prime is 471016849. The reversal of 471016840 is 48610174.

It is an interprime number because it is at equal distance from previous prime (471016831) and next prime (471016849).

It is not an unprimeable number, because it can be changed into a prime (471016849) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6634005 + ... + 6634075.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2^471016840 is an apocalyptic number.

471016840 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 471016840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684288000).

471016840 is an abundant number, since it is smaller than the sum of its proper divisors (897559160).

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

471016840 is a wasteful number, since it uses less digits than its factorization.

471016840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 471016840 is about 21702.9223838634. The cubic root of 471016840 is about 778.0583087523.

The spelling of 471016840 in words is "four hundred seventy-one million, sixteen thousand, eight hundred forty".