471219840 has 768 divisors, whose sum is σ = 2138572800. Its totient is φ = 92897280.

The previous prime is 471219803. The next prime is 471219841. The reversal of 471219840 is 48912174.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 471219795 and 471219804.

It is not an unprimeable number, because it can be changed into a prime (471219841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15200625 + ... + 15200655.

It is an arithmetic number, because the mean of its divisors is an integer number (2784600).

Almost surely, 2^471219840 is an apocalyptic number.

471219840 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 471219840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069286400).

471219840 is an abundant number, since it is smaller than the sum of its proper divisors (1667352960).

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

471219840 is a wasteful number, since it uses less digits than its factorization.

471219840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 471219840 is about 21707.5986695903. The cubic root of 471219840 is about 778.1700691948.

The spelling of 471219840 in words is "four hundred seventy-one million, two hundred nineteen thousand, eight hundred forty".